What is the Least Common Multiple of 9372 and 9376?

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 9372 and 9376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9372 and 9376, than apply into the LCM equation.

GCF(9372,9376) = 4
LCM(9372,9376) = ( 9372 × 9376) / 4
LCM(9372,9376) = 87871872 / 4
LCM(9372,9376) = 21967968

Least Common Multiple (LCM) of 9372 and 9376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9372 and 9376. First we will calculate the prime factors of 9372 and 9376.

Prime Factorization of 9372

Prime Factorization of 9376

Now multiplying the highest exponent prime factors to calculate the LCM of 9372 and 9376.

LCM(9372,9376) = 2⁵ × 3¹ × 11¹ × 71¹ × 293¹
LCM(9372,9376) = 21967968