What is the Least Common Multiple of 11916 and 11925?

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 11916 and 11925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11916 and 11925, than apply into the LCM equation.

GCF(11916,11925) = 9
LCM(11916,11925) = ( 11916 × 11925) / 9
LCM(11916,11925) = 142098300 / 9
LCM(11916,11925) = 15788700

Least Common Multiple (LCM) of 11916 and 11925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11916 and 11925. First we will calculate the prime factors of 11916 and 11925.

Prime Factorization of 11916

Prime Factorization of 11925

Now multiplying the highest exponent prime factors to calculate the LCM of 11916 and 11925.

LCM(11916,11925) = 2² × 3² × 331¹ × 5² × 53¹
LCM(11916,11925) = 15788700