Least Common Multiple of 6624 and 6628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6624 and 6628 the smallest integer that is 10975968 that is divisible by both numbers.

Least Common Multiple (LCM) of 6624 and 6628 is 10975968.

LCM(6624,6628) = 10975968

LCM of 6624 and 6628

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

LCM of:
and

Least Common Multiple of 6624 and 6628

LCM of 6624 and 6628 is 10975968

Least common multiple can be found by multiplying the highest exponent prime factors of 6624 and 6628. First we will calculate the prime factors of 6624 and 6628.

Prime Factorization of 6624


2 6624
2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 6624 are 2, 3,23. Prime factorization of 6624 in exponential form is:

6624 = 25×32×231

Prime Factorization of 6628


2 6628
2 3314
1657 1657
1

Prime factors of 6628 are 2,1657. Prime factorization of 6628 in exponential form is:

6628 = 22×16571

Now multiplying the highest exponent prime factors to calculate the LCM of 6624 and 6628.

LCM(6624,6628) = 25×32×231×16571
LCM(6624,6628) = 10975968

Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624

Factors of 6628

List of positive integer factors of 6628 that divides 6628 without a remainder.

1, 2, 4, 1657, 3314, 6628

Least Common Multiple of 6624 and 6628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6624 and 6628, than apply into the LCM equation.

GCF(6624,6628) = 4
LCM(6624,6628) = ( 6624 × 6628) / 4
LCM(6624,6628) = 43903872 / 4
LCM(6624,6628) = 10975968

Properties of LCM 6624 and 6628

(i) The LCM of 6628 and 6624 is associative

LCM of 6624 and 6628 = LCM of 6628 and 6624

Related Least Common Multiples of 6624

Related Least Common Multiples of 6628

Frequently Asked Questions on LCM of 6624 and 6628

1. What is the LCM of 6624 and 6628?

Answer: LCM of 6624 and 6628 is 10975968.

2. What are the Factors of 6624?

Answer: Factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. There are 36 integers that are factors of 6624. The greatest factor of 6624 is 6624.

3. What are the Factors of 6628?

Answer: Factors of 6628 are 1, 2, 4, 1657, 3314, 6628. There are 6 integers that are factors of 6628. The greatest factor of 6628 is 6628.

4. How to Find the LCM of 6624 and 6628?

Answer:

Least Common Multiple of 6624 and 6628 = 10975968

Step 1: Find the prime factorization of 6624

6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 6628

6628 = 2 x 2 x 1657

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

LCM = 10975968 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 1657

Step 4: Therefore, the least common multiple of 6624 and 6628 is 10975968.