Least Common Multiple of 2616 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 2616 and 2624 the smallest integer that is 858048 that is divisible by both numbers.

Least Common Multiple (LCM) of 2616 and 2624 is 858048.

LCM(2616,2624) = 858048

LCM of 2616 and 2624

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

LCM of:
and

Least Common Multiple of 2616 and 2624

LCM of 2616 and 2624 is 858048

Least common multiple can be found by multiplying the highest exponent prime factors of 2616 and 2624. First we will calculate the prime factors of 2616 and 2624.

Prime Factorization of 2616


2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 2616 are 2, 3,109. Prime factorization of 2616 in exponential form is:

2616 = 23×31×1091

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 2616 and 2624.

LCM(2616,2624) = 26×31×411×1091
LCM(2616,2624) = 858048

Factors of 2616

List of positive integer factors of 2616 that divides 2616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616

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 2616 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 2616 and 2624, than apply into the LCM equation.

GCF(2616,2624) = 8
LCM(2616,2624) = ( 2616 × 2624) / 8
LCM(2616,2624) = 6864384 / 8
LCM(2616,2624) = 858048

Properties of LCM 2616 and 2624

(i) The LCM of 2624 and 2616 is associative

LCM of 2616 and 2624 = LCM of 2624 and 2616

Related Least Common Multiples of 2616

Related Least Common Multiples of 2624

Frequently Asked Questions on LCM of 2616 and 2624

1. What is the LCM of 2616 and 2624?

Answer: LCM of 2616 and 2624 is 858048.

2. What are the Factors of 2616?

Answer: Factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616. There are 16 integers that are factors of 2616. The greatest factor of 2616 is 2616.

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 2616 and 2624?

Answer:

Least Common Multiple of 2616 and 2624 = 858048

Step 1: Find the prime factorization of 2616

2616 = 2 x 2 x 2 x 3 x 109

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 = 858048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41 x 109

Step 4: Therefore, the least common multiple of 2616 and 2624 is 858048.