Least Common Multiple of 2618 and 2624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2618 and 2624 the smallest integer that is 3434816 that is divisible by both numbers.

Least Common Multiple (LCM) of 2618 and 2624 is 3434816.

LCM(2618,2624) = 3434816

LCM of 2618 and 2624

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2618 and 2624

LCM of 2618 and 2624 is 3434816

Least common multiple can be found by multiplying the highest exponent prime factors of 2618 and 2624. First we will calculate the prime factors of 2618 and 2624.

Prime Factorization of 2618


2 2618
7 1309
11 187
17 17
1

Prime factors of 2618 are 2, 7, 11,17. Prime factorization of 2618 in exponential form is:

2618 = 21×71×111×171

Prime Factorization of 2624


2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 2624 are 2,41. Prime factorization of 2624 in exponential form is:

2624 = 26×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2618 and 2624.

LCM(2618,2624) = 26×71×111×171×411
LCM(2618,2624) = 3434816

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624

Least Common Multiple of 2618 and 2624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2618 and 2624, than apply into the LCM equation.

GCF(2618,2624) = 2
LCM(2618,2624) = ( 2618 × 2624) / 2
LCM(2618,2624) = 6869632 / 2
LCM(2618,2624) = 3434816

Properties of LCM 2618 and 2624

(i) The LCM of 2624 and 2618 is associative

LCM of 2618 and 2624 = LCM of 2624 and 2618

Related Least Common Multiples of 2618

Related Least Common Multiples of 2624

Frequently Asked Questions on LCM of 2618 and 2624

1. What is the LCM of 2618 and 2624?

Answer: LCM of 2618 and 2624 is 3434816.

2. What are the Factors of 2618?

Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.

3. What are the Factors of 2624?

Answer: Factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624. There are 14 integers that are factors of 2624. The greatest factor of 2624 is 2624.

4. How to Find the LCM of 2618 and 2624?

Answer:

Least Common Multiple of 2618 and 2624 = 3434816

Step 1: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 2: Find the prime factorization of 2624

2624 = 2 x 2 x 2 x 2 x 2 x 2 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3434816 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 17 x 41

Step 4: Therefore, the least common multiple of 2618 and 2624 is 3434816.