Least Common Multiple of 2619 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 2619 and 2624 the smallest integer that is 6872256 that is divisible by both numbers.

Least Common Multiple (LCM) of 2619 and 2624 is 6872256.

LCM(2619,2624) = 6872256

LCM of 2619 and 2624

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

LCM of:
and

Least Common Multiple of 2619 and 2624

LCM of 2619 and 2624 is 6872256

Least common multiple can be found by multiplying the highest exponent prime factors of 2619 and 2624. First we will calculate the prime factors of 2619 and 2624.

Prime Factorization of 2619


3 2619
3 873
3 291
97 97
1

Prime factors of 2619 are 3,97. Prime factorization of 2619 in exponential form is:

2619 = 33×971

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 2619 and 2624.

LCM(2619,2624) = 26×33×411×971
LCM(2619,2624) = 6872256

Factors of 2619

List of positive integer factors of 2619 that divides 2619 without a remainder.

1, 3, 9, 27, 97, 291, 873, 2619

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 2619 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 2619 and 2624, than apply into the LCM equation.

GCF(2619,2624) = 1
LCM(2619,2624) = ( 2619 × 2624) / 1
LCM(2619,2624) = 6872256 / 1
LCM(2619,2624) = 6872256

Properties of LCM 2619 and 2624

(i) The LCM of 2624 and 2619 is associative

LCM of 2619 and 2624 = LCM of 2624 and 2619

Related Least Common Multiples of 2619

Related Least Common Multiples of 2624

Frequently Asked Questions on LCM of 2619 and 2624

1. What is the LCM of 2619 and 2624?

Answer: LCM of 2619 and 2624 is 6872256.

2. What are the Factors of 2619?

Answer: Factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619. There are 8 integers that are factors of 2619. The greatest factor of 2619 is 2619.

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 2619 and 2624?

Answer:

Least Common Multiple of 2619 and 2624 = 6872256

Step 1: Find the prime factorization of 2619

2619 = 3 x 3 x 3 x 97

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 = 6872256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 41 x 97

Step 4: Therefore, the least common multiple of 2619 and 2624 is 6872256.