What is the Least Common Multiple of 97344 and 97358?

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 97344 and 97358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97344 and 97358, than apply into the LCM equation.

GCF(97344,97358) = 2
LCM(97344,97358) = ( 97344 × 97358) / 2
LCM(97344,97358) = 9477217152 / 2
LCM(97344,97358) = 4738608576

Least Common Multiple (LCM) of 97344 and 97358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97344 and 97358. First we will calculate the prime factors of 97344 and 97358.

Prime Factorization of 97344

Prime Factorization of 97358

Now multiplying the highest exponent prime factors to calculate the LCM of 97344 and 97358.

LCM(97344,97358) = 2⁶ × 3² × 13² × 48679¹
LCM(97344,97358) = 4738608576