GCF and LCM Calculator Logo

What is the Least Common Multiple of 2892 and 2908?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2892 and 2908 is 2102484.

LCM(2892,2908) = 2102484

LCM Calculator and
and

Least Common Multiple of 2892 and 2908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2892 and 2908, than apply into the LCM equation.

GCF(2892,2908) = 4
LCM(2892,2908) = ( 2892 × 2908) / 4
LCM(2892,2908) = 8409936 / 4
LCM(2892,2908) = 2102484

Least Common Multiple (LCM) of 2892 and 2908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2892 and 2908. First we will calculate the prime factors of 2892 and 2908.

Prime Factorization of 2892

Prime factors of 2892 are 2, 3, 241. Prime factorization of 2892 in exponential form is:

2892 = 22 × 31 × 2411

Prime Factorization of 2908

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

2908 = 22 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 2892 and 2908.

LCM(2892,2908) = 22 × 31 × 2411 × 7271
LCM(2892,2908) = 2102484