What is the Least Common Multiple of 9401 and 9408?

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 9401 and 9408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9401 and 9408, than apply into the LCM equation.

GCF(9401,9408) = 7
LCM(9401,9408) = ( 9401 × 9408) / 7
LCM(9401,9408) = 88444608 / 7
LCM(9401,9408) = 12634944

Least Common Multiple (LCM) of 9401 and 9408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9401 and 9408. First we will calculate the prime factors of 9401 and 9408.

Prime Factorization of 9401

Prime Factorization of 9408

Now multiplying the highest exponent prime factors to calculate the LCM of 9401 and 9408.

LCM(9401,9408) = 7² × 17¹ × 79¹ × 2⁶ × 3¹
LCM(9401,9408) = 12634944