Least Common Multiple of 2908 and 2912

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 2912 the smallest integer that is 2117024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2908 and 2912 is 2117024.

LCM(2908,2912) = 2117024

LCM of 2908 and 2912

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

LCM of:
and

Least Common Multiple of 2908 and 2912

LCM of 2908 and 2912 is 2117024

Least common multiple can be found by multiplying the highest exponent prime factors of 2908 and 2912. First we will calculate the prime factors of 2908 and 2912.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2908 and 2912.

LCM(2908,2912) = 25×71×131×7271
LCM(2908,2912) = 2117024

Factors of 2908

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

1, 2, 4, 727, 1454, 2908

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

Least Common Multiple of 2908 and 2912 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 2912, than apply into the LCM equation.

GCF(2908,2912) = 4
LCM(2908,2912) = ( 2908 × 2912) / 4
LCM(2908,2912) = 8468096 / 4
LCM(2908,2912) = 2117024

Properties of LCM 2908 and 2912

(i) The LCM of 2912 and 2908 is associative

LCM of 2908 and 2912 = LCM of 2912 and 2908

Related Least Common Multiples of 2908

Related Least Common Multiples of 2912

Frequently Asked Questions on LCM of 2908 and 2912

1. What is the LCM of 2908 and 2912?

Answer: LCM of 2908 and 2912 is 2117024.

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 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.

4. How to Find the LCM of 2908 and 2912?

Answer:

Least Common Multiple of 2908 and 2912 = 2117024

Step 1: Find the prime factorization of 2908

2908 = 2 x 2 x 727

Step 2: Find the prime factorization of 2912

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

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

LCM = 2117024 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 727

Step 4: Therefore, the least common multiple of 2908 and 2912 is 2117024.