What is the Least Common Multiple of 9408 and 9423?

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 9423 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 9423, than apply into the LCM equation.

GCF(9408,9423) = 3
LCM(9408,9423) = ( 9408 × 9423) / 3
LCM(9408,9423) = 88651584 / 3
LCM(9408,9423) = 29550528

Least Common Multiple (LCM) of 9408 and 9423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9408 and 9423. First we will calculate the prime factors of 9408 and 9423.

Prime Factorization of 9408

Prime Factorization of 9423

Now multiplying the highest exponent prime factors to calculate the LCM of 9408 and 9423.

LCM(9408,9423) = 2⁶ × 3³ × 7² × 349¹
LCM(9408,9423) = 29550528