LCM of 4 and also 12 is the smallest number among all typical multiples that 4 and also 12. The first couple of multiples that 4 and also 12 space (4, 8, 12, 16, 20, 24, 28, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There room 3 typically used approaches to find LCM of 4 and also 12 - through listing multiples, by division method, and also by prime factorization.

You are watching: What is the least common multiple of 4 and 12

1. | LCM the 4 and 12 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 4 and also 12 is 12.

**Explanation: **

The LCM of two non-zero integers, x(4) and also y(12), is the smallest optimistic integer m(12) the is divisible by both x(4) and also y(12) without any remainder.

Let's look at the various methods for finding the LCM the 4 and 12.

By Listing MultiplesBy element Factorization MethodBy division Method### LCM of 4 and 12 through Listing Multiples

To calculate the LCM that 4 and also 12 by listing out the common multiples, we deserve to follow the given listed below steps:

**Step 1:**perform a few multiples the 4 (4, 8, 12, 16, 20, 24, 28, . . . ) and 12 (12, 24, 36, 48, 60, . . . . )

**Step 2:**The common multiples from the multiples of 4 and also 12 are 12, 24, . . .

**Step 3:**The smallest usual multiple of 4 and also 12 is 12.

∴ The least usual multiple the 4 and also 12 = 12.

### LCM the 4 and also 12 by element Factorization

Prime administer of 4 and also 12 is (2 × 2) = 22 and also (2 × 2 × 3) = 22 × 31 respectively. LCM that 4 and also 12 deserve to be derived by multiplying prime factors raised to their respective greatest power, i.e. 22 × 31 = 12.Hence, the LCM the 4 and 12 by element factorization is 12.

### LCM of 4 and also 12 by division Method

To calculation the LCM that 4 and 12 through the department method, we will certainly divide the numbers(4, 12) by their prime factors (preferably common). The product of this divisors offers the LCM of 4 and 12.

**Step 3:**proceed the actions until only 1s space left in the last row.

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The LCM that 4 and also 12 is the product of every prime number on the left, i.e. LCM(4, 12) by division method = 2 × 2 × 3 = 12.