What is the Least Common Multiple of 2912 and 2925?

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 of 2912 and 2925 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 2925, than apply into the LCM equation.

GCF(2912,2925) = 13
LCM(2912,2925) = ( 2912 × 2925) / 13
LCM(2912,2925) = 8517600 / 13
LCM(2912,2925) = 655200

Least Common Multiple (LCM) of 2912 and 2925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2912 and 2925. First we will calculate the prime factors of 2912 and 2925.

Prime Factorization of 2912

Prime Factorization of 2925

Now multiplying the highest exponent prime factors to calculate the LCM of 2912 and 2925.

LCM(2912,2925) = 2⁵ × 7¹ × 13¹ × 3² × 5²
LCM(2912,2925) = 655200