What is the Least Common Multiple of 9408 and 9428?

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 9408 and 9428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9408 and 9428, than apply into the LCM equation.

GCF(9408,9428) = 4
LCM(9408,9428) = ( 9408 × 9428) / 4
LCM(9408,9428) = 88698624 / 4
LCM(9408,9428) = 22174656

Least Common Multiple (LCM) of 9408 and 9428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9408 and 9428. First we will calculate the prime factors of 9408 and 9428.

Prime Factorization of 9408

Prime Factorization of 9428

Now multiplying the highest exponent prime factors to calculate the LCM of 9408 and 9428.

LCM(9408,9428) = 2⁶ × 3¹ × 7² × 2357¹
LCM(9408,9428) = 22174656