What is the Least Common Multiple of 97596 and 97612?

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 97596 and 97612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97596 and 97612, than apply into the LCM equation.

GCF(97596,97612) = 4
LCM(97596,97612) = ( 97596 × 97612) / 4
LCM(97596,97612) = 9526540752 / 4
LCM(97596,97612) = 2381635188

Least Common Multiple (LCM) of 97596 and 97612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97596 and 97612. First we will calculate the prime factors of 97596 and 97612.

Prime Factorization of 97596

Prime Factorization of 97612

Now multiplying the highest exponent prime factors to calculate the LCM of 97596 and 97612.

LCM(97596,97612) = 2² × 3² × 2711¹ × 23¹ × 1061¹
LCM(97596,97612) = 2381635188