Least Common Multiple of 2617 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 2617 and 2624 the smallest integer that is 6867008 that is divisible by both numbers.

Least Common Multiple (LCM) of 2617 and 2624 is 6867008.

LCM(2617,2624) = 6867008

LCM of 2617 and 2624

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

LCM of:
and

Least Common Multiple of 2617 and 2624

LCM of 2617 and 2624 is 6867008

Least common multiple can be found by multiplying the highest exponent prime factors of 2617 and 2624. First we will calculate the prime factors of 2617 and 2624.

Prime Factorization of 2617


2617 2617
1

Prime factors of 2617 are 2617. Prime factorization of 2617 in exponential form is:

2617 = 26171

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 2617 and 2624.

LCM(2617,2624) = 26×411×26171
LCM(2617,2624) = 6867008

Factors of 2617

List of positive integer factors of 2617 that divides 2617 without a remainder.

1, 2617

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 2617 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 2617 and 2624, than apply into the LCM equation.

GCF(2617,2624) = 1
LCM(2617,2624) = ( 2617 × 2624) / 1
LCM(2617,2624) = 6867008 / 1
LCM(2617,2624) = 6867008

Properties of LCM 2617 and 2624

(i) The LCM of 2624 and 2617 is associative

LCM of 2617 and 2624 = LCM of 2624 and 2617

Related Least Common Multiples of 2617

Related Least Common Multiples of 2624

Frequently Asked Questions on LCM of 2617 and 2624

1. What is the LCM of 2617 and 2624?

Answer: LCM of 2617 and 2624 is 6867008.

2. What are the Factors of 2617?

Answer: Factors of 2617 are 1, 2617. There are 2 integers that are factors of 2617. The greatest factor of 2617 is 2617.

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 2617 and 2624?

Answer:

Least Common Multiple of 2617 and 2624 = 6867008

Step 1: Find the prime factorization of 2617

2617 = 2617

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 = 6867008 = 2 x 2 x 2 x 2 x 2 x 2 x 41 x 2617

Step 4: Therefore, the least common multiple of 2617 and 2624 is 6867008.