Least Common Multiple of 2916 and 2921

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 2921 the smallest integer that is 8517636 that is divisible by both numbers.

Least Common Multiple (LCM) of 2916 and 2921 is 8517636.

LCM(2916,2921) = 8517636

LCM of 2916 and 2921

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

LCM of:
and

Least Common Multiple of 2916 and 2921

LCM of 2916 and 2921 is 8517636

Least common multiple can be found by multiplying the highest exponent prime factors of 2916 and 2921. First we will calculate the prime factors of 2916 and 2921.

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 2921


23 2921
127 127
1

Prime factors of 2921 are 23,127. Prime factorization of 2921 in exponential form is:

2921 = 231×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2916 and 2921.

LCM(2916,2921) = 22×36×231×1271
LCM(2916,2921) = 8517636

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 2921

List of positive integer factors of 2921 that divides 2921 without a remainder.

1, 23, 127, 2921

Least Common Multiple of 2916 and 2921 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 2921, than apply into the LCM equation.

GCF(2916,2921) = 1
LCM(2916,2921) = ( 2916 × 2921) / 1
LCM(2916,2921) = 8517636 / 1
LCM(2916,2921) = 8517636

Properties of LCM 2916 and 2921

(i) The LCM of 2921 and 2916 is associative

LCM of 2916 and 2921 = LCM of 2921 and 2916

Related Least Common Multiples of 2916

Related Least Common Multiples of 2921

Frequently Asked Questions on LCM of 2916 and 2921

1. What is the LCM of 2916 and 2921?

Answer: LCM of 2916 and 2921 is 8517636.

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 2921?

Answer: Factors of 2921 are 1, 23, 127, 2921. There are 4 integers that are factors of 2921. The greatest factor of 2921 is 2921.

4. How to Find the LCM of 2916 and 2921?

Answer:

Least Common Multiple of 2916 and 2921 = 8517636

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 2921

2921 = 23 x 127

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

LCM = 8517636 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 23 x 127

Step 4: Therefore, the least common multiple of 2916 and 2921 is 8517636.