What is the Least Common Multiple of 11925 and 11937?

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 11925 and 11937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11925 and 11937, than apply into the LCM equation.

GCF(11925,11937) = 3
LCM(11925,11937) = ( 11925 × 11937) / 3
LCM(11925,11937) = 142348725 / 3
LCM(11925,11937) = 47449575

Least Common Multiple (LCM) of 11925 and 11937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11925 and 11937. First we will calculate the prime factors of 11925 and 11937.

Prime Factorization of 11925

Prime Factorization of 11937

Now multiplying the highest exponent prime factors to calculate the LCM of 11925 and 11937.

LCM(11925,11937) = 3² × 5² × 53¹ × 23¹ × 173¹
LCM(11925,11937) = 47449575