Least Common Multiple of 2908 and 2916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2908 and 2916 the smallest integer that is 2119932 that is divisible by both numbers.

Least Common Multiple (LCM) of 2908 and 2916 is 2119932.

LCM(2908,2916) = 2119932

LCM of 2908 and 2916

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

LCM of:
and

Least Common Multiple of 2908 and 2916

LCM of 2908 and 2916 is 2119932

Least common multiple can be found by multiplying the highest exponent prime factors of 2908 and 2916. First we will calculate the prime factors of 2908 and 2916.

Prime Factorization of 2908


2 2908
2 1454
727 727
1

Prime factors of 2908 are 2,727. Prime factorization of 2908 in exponential form is:

2908 = 22×7271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2908 and 2916.

LCM(2908,2916) = 22×36×7271
LCM(2908,2916) = 2119932

Factors of 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1, 2, 4, 727, 1454, 2908

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

Least Common Multiple of 2908 and 2916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2908 and 2916, than apply into the LCM equation.

GCF(2908,2916) = 4
LCM(2908,2916) = ( 2908 × 2916) / 4
LCM(2908,2916) = 8479728 / 4
LCM(2908,2916) = 2119932

Properties of LCM 2908 and 2916

(i) The LCM of 2916 and 2908 is associative

LCM of 2908 and 2916 = LCM of 2916 and 2908

Related Least Common Multiples of 2908

Related Least Common Multiples of 2916

Frequently Asked Questions on LCM of 2908 and 2916

1. What is the LCM of 2908 and 2916?

Answer: LCM of 2908 and 2916 is 2119932.

2. What are the Factors of 2908?

Answer: Factors of 2908 are 1, 2, 4, 727, 1454, 2908. There are 6 integers that are factors of 2908. The greatest factor of 2908 is 2908.

3. 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.

4. How to Find the LCM of 2908 and 2916?

Answer:

Least Common Multiple of 2908 and 2916 = 2119932

Step 1: Find the prime factorization of 2908

2908 = 2 x 2 x 727

Step 2: Find the prime factorization of 2916

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

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

LCM = 2119932 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 727

Step 4: Therefore, the least common multiple of 2908 and 2916 is 2119932.