Least Common Multiple of 2912 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 2912 and 2916 the smallest integer that is 2122848 that is divisible by both numbers.

Least Common Multiple (LCM) of 2912 and 2916 is 2122848.

LCM(2912,2916) = 2122848

LCM of 2912 and 2916

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

LCM of:
and

Least Common Multiple of 2912 and 2916

LCM of 2912 and 2916 is 2122848

Least common multiple can be found by multiplying the highest exponent prime factors of 2912 and 2916. First we will calculate the prime factors of 2912 and 2916.

Prime Factorization of 2912


2 2912
2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 2912 are 2, 7,13. Prime factorization of 2912 in exponential form is:

2912 = 25×71×131

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 2912 and 2916.

LCM(2912,2916) = 25×36×71×131
LCM(2912,2916) = 2122848

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

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 2912 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 2912 and 2916, than apply into the LCM equation.

GCF(2912,2916) = 4
LCM(2912,2916) = ( 2912 × 2916) / 4
LCM(2912,2916) = 8491392 / 4
LCM(2912,2916) = 2122848

Properties of LCM 2912 and 2916

(i) The LCM of 2916 and 2912 is associative

LCM of 2912 and 2916 = LCM of 2916 and 2912

Related Least Common Multiples of 2912

Related Least Common Multiples of 2916

Frequently Asked Questions on LCM of 2912 and 2916

1. What is the LCM of 2912 and 2916?

Answer: LCM of 2912 and 2916 is 2122848.

2. What are the Factors of 2912?

Answer: Factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912. There are 24 integers that are factors of 2912. The greatest factor of 2912 is 2912.

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 2912 and 2916?

Answer:

Least Common Multiple of 2912 and 2916 = 2122848

Step 1: Find the prime factorization of 2912

2912 = 2 x 2 x 2 x 2 x 2 x 7 x 13

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 = 2122848 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 13

Step 4: Therefore, the least common multiple of 2912 and 2916 is 2122848.