What is the Least Common Multiple of 97344 and 97356?

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 97356 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 97356, than apply into the LCM equation.

GCF(97344,97356) = 12
LCM(97344,97356) = ( 97344 × 97356) / 12
LCM(97344,97356) = 9477022464 / 12
LCM(97344,97356) = 789751872

Least Common Multiple (LCM) of 97344 and 97356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97344 and 97356. First we will calculate the prime factors of 97344 and 97356.

Prime Factorization of 97344

Prime Factorization of 97356

Now multiplying the highest exponent prime factors to calculate the LCM of 97344 and 97356.

LCM(97344,97356) = 2⁶ × 3² × 13² × 7¹ × 19¹ × 61¹
LCM(97344,97356) = 789751872