Least Common Multiple of 2916 and 2924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2916 and 2924 the smallest integer that is 2131596 that is divisible by both numbers.

Least Common Multiple (LCM) of 2916 and 2924 is 2131596.

LCM(2916,2924) = 2131596

LCM of 2916 and 2924

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

LCM of:
and

Least Common Multiple of 2916 and 2924

LCM of 2916 and 2924 is 2131596

Least common multiple can be found by multiplying the highest exponent prime factors of 2916 and 2924. First we will calculate the prime factors of 2916 and 2924.

Prime Factorization of 2916


2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2916 are 2,3. Prime factorization of 2916 in exponential form is:

2916 = 22×36

Prime Factorization of 2924


2 2924
2 1462
17 731
43 43
1

Prime factors of 2924 are 2, 17,43. Prime factorization of 2924 in exponential form is:

2924 = 22×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2916 and 2924.

LCM(2916,2924) = 22×36×171×431
LCM(2916,2924) = 2131596

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924

Least Common Multiple of 2916 and 2924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2916 and 2924, than apply into the LCM equation.

GCF(2916,2924) = 4
LCM(2916,2924) = ( 2916 × 2924) / 4
LCM(2916,2924) = 8526384 / 4
LCM(2916,2924) = 2131596

Properties of LCM 2916 and 2924

(i) The LCM of 2924 and 2916 is associative

LCM of 2916 and 2924 = LCM of 2924 and 2916

Related Least Common Multiples of 2916

Related Least Common Multiples of 2924

Frequently Asked Questions on LCM of 2916 and 2924

1. What is the LCM of 2916 and 2924?

Answer: LCM of 2916 and 2924 is 2131596.

2. What are the Factors of 2916?

Answer: Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916. There are 21 integers that are factors of 2916. The greatest factor of 2916 is 2916.

3. What are the Factors of 2924?

Answer: Factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924. There are 12 integers that are factors of 2924. The greatest factor of 2924 is 2924.

4. How to Find the LCM of 2916 and 2924?

Answer:

Least Common Multiple of 2916 and 2924 = 2131596

Step 1: Find the prime factorization of 2916

2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 2924

2924 = 2 x 2 x 17 x 43

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

LCM = 2131596 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 17 x 43

Step 4: Therefore, the least common multiple of 2916 and 2924 is 2131596.