Least Common Multiple of 2912 and 2920

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 2920 the smallest integer that is 1062880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2912 and 2920 is 1062880.

LCM(2912,2920) = 1062880

LCM of 2912 and 2920

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

LCM of:
and

Least Common Multiple of 2912 and 2920

LCM of 2912 and 2920 is 1062880

Least common multiple can be found by multiplying the highest exponent prime factors of 2912 and 2920. First we will calculate the prime factors of 2912 and 2920.

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 2920


2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 2920 are 2, 5,73. Prime factorization of 2920 in exponential form is:

2920 = 23×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2912 and 2920.

LCM(2912,2920) = 25×51×71×131×731
LCM(2912,2920) = 1062880

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 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920

Least Common Multiple of 2912 and 2920 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 2920, than apply into the LCM equation.

GCF(2912,2920) = 8
LCM(2912,2920) = ( 2912 × 2920) / 8
LCM(2912,2920) = 8503040 / 8
LCM(2912,2920) = 1062880

Properties of LCM 2912 and 2920

(i) The LCM of 2920 and 2912 is associative

LCM of 2912 and 2920 = LCM of 2920 and 2912

Related Least Common Multiples of 2912

Related Least Common Multiples of 2920

Frequently Asked Questions on LCM of 2912 and 2920

1. What is the LCM of 2912 and 2920?

Answer: LCM of 2912 and 2920 is 1062880.

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 2920?

Answer: Factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920. There are 16 integers that are factors of 2920. The greatest factor of 2920 is 2920.

4. How to Find the LCM of 2912 and 2920?

Answer:

Least Common Multiple of 2912 and 2920 = 1062880

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 2920

2920 = 2 x 2 x 2 x 5 x 73

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

LCM = 1062880 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13 x 73

Step 4: Therefore, the least common multiple of 2912 and 2920 is 1062880.