Free LCM Calculator identify the least usual multiple (LCM) in between 10 and 15 the the smallest integer that is 30 that is divisible by both numbers.

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Least typical Multiple (LCM) that 10 and 15 is 30.

LCM(10,15) = 30


Least typical multiple can be found by multiply the highest exponent prime determinants of 10 and also 15. Very first we will calculate the prime determinants of 10 and 15.

Prime administer of 10

2 10
5 5
1

Prime components of 10 space 2,5. Element factorization of 10 in exponential type is:

10 = 21×51Prime factorization of 15

3 15
5 5
1

Prime determinants of 15 are 3,5. Element factorization the 15 in exponential form is:

15 = 31×51Now multiply the highest possible exponent prime determinants to calculate the LCM the 10 and also 15.

LCM(10,15) = 21×31×51LCM(10,15) = 30

Factors of 10

List of hopeful integer determinants of 10 that divides 10 there is no a remainder.

1, 2, 5, 10

Factors of 15

List of positive integer determinants of 15 that divides 15 there is no a remainder.

1, 3, 5, 15


Least typical Multiple that 10 and also 15 through GCF Formula


The formula that LCM is LCM(a,b) = ( a × b) / GCF(a,b).We should calculate greatest usual factor 10 and also 15, than use into the LCM equation.

GCF(10,15) = 5LCM(10,15) = ( 10 × 15) / 5LCM(10,15) = 150 / 5LCM(10,15) = 30


Properties the LCM 10 and 15


(i) The LCM the 15 and also 10 is associative

LCM that 10 and 15 = LCM that 15 and 10


Related Least usual Multiples that 10
Related Least typical Multiples that 15

Frequently Asked inquiries on LCM of 10 and 15


1. What is the LCM that 10 and also 15?

Answer: LCM the 10 and 15 is 30.

2. What are the determinants of 10?

Answer: factors of 10 are 1, 2, 5, 10. There room 4 integers the are factors of 10. The greatest element of 10 is 10.

3. What are the determinants of 15?

Answer: factors of 15 space 1, 3, 5, 15. There space 4 integers that are components of 15. The greatest factor of 15 is 15.

See more: How Many Ounces Are In 90 Grams Is How Many Ounces Conversion

4. Just how to uncover the LCM of 10 and also 15?

Answer:

Least usual Multiple the 10 and 15 = 30

Step 1: discover the element factorization the 10

10 = 2 x 5

Step 2: discover the element factorization the 15

15 = 3 x 5

Step 3: main point each factor the greater number of times it occurs in measures i) or ii) above to discover the lcm:

LCM = 30 = 2 x 3 x 5

Step 4: Therefore, the least usual multiple that 10 and also 15 is 30.


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