Least Common Multiple of 6617 and 6624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6617 and 6624 the smallest integer that is 43831008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6617 and 6624 is 43831008.

LCM(6617,6624) = 43831008

LCM of 6617 and 6624

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

LCM of:
and

Least Common Multiple of 6617 and 6624

LCM of 6617 and 6624 is 43831008

Least common multiple can be found by multiplying the highest exponent prime factors of 6617 and 6624. First we will calculate the prime factors of 6617 and 6624.

Prime Factorization of 6617


13 6617
509 509
1

Prime factors of 6617 are 13,509. Prime factorization of 6617 in exponential form is:

6617 = 131×5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6617 and 6624.

LCM(6617,6624) = 25×32×131×231×5091
LCM(6617,6624) = 43831008

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1, 13, 509, 6617

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

Least Common Multiple of 6617 and 6624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6617 and 6624, than apply into the LCM equation.

GCF(6617,6624) = 1
LCM(6617,6624) = ( 6617 × 6624) / 1
LCM(6617,6624) = 43831008 / 1
LCM(6617,6624) = 43831008

Properties of LCM 6617 and 6624

(i) The LCM of 6624 and 6617 is associative

LCM of 6617 and 6624 = LCM of 6624 and 6617

Related Least Common Multiples of 6617

Related Least Common Multiples of 6624

Frequently Asked Questions on LCM of 6617 and 6624

1. What is the LCM of 6617 and 6624?

Answer: LCM of 6617 and 6624 is 43831008.

2. What are the Factors of 6617?

Answer: Factors of 6617 are 1, 13, 509, 6617. There are 4 integers that are factors of 6617. The greatest factor of 6617 is 6617.

3. 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.

4. How to Find the LCM of 6617 and 6624?

Answer:

Least Common Multiple of 6617 and 6624 = 43831008

Step 1: Find the prime factorization of 6617

6617 = 13 x 509

Step 2: Find the prime factorization of 6624

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

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

LCM = 43831008 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 23 x 509

Step 4: Therefore, the least common multiple of 6617 and 6624 is 43831008.