What is the Least Common Multiple of 37953 and 37965?

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 37953 and 37965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37953 and 37965, than apply into the LCM equation.

GCF(37953,37965) = 3
LCM(37953,37965) = ( 37953 × 37965) / 3
LCM(37953,37965) = 1440885645 / 3
LCM(37953,37965) = 480295215

Least Common Multiple (LCM) of 37953 and 37965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37953 and 37965. First we will calculate the prime factors of 37953 and 37965.

Prime Factorization of 37953

Prime Factorization of 37965

Now multiplying the highest exponent prime factors to calculate the LCM of 37953 and 37965.

LCM(37953,37965) = 3² × 4217¹ × 5¹ × 2531¹
LCM(37953,37965) = 480295215