What is the Least Common Multiple of 37965 and 37971?

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 37965 and 37971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37965 and 37971, than apply into the LCM equation.

GCF(37965,37971) = 3
LCM(37965,37971) = ( 37965 × 37971) / 3
LCM(37965,37971) = 1441569015 / 3
LCM(37965,37971) = 480523005

Least Common Multiple (LCM) of 37965 and 37971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37965 and 37971. First we will calculate the prime factors of 37965 and 37971.

Prime Factorization of 37965

Prime Factorization of 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 37965 and 37971.

LCM(37965,37971) = 3² × 5¹ × 2531¹ × 4219¹
LCM(37965,37971) = 480523005