What is the Least Common Multiple of 97612 and 97632?

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 97612 and 97632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97612 and 97632, than apply into the LCM equation.

GCF(97612,97632) = 4
LCM(97612,97632) = ( 97612 × 97632) / 4
LCM(97612,97632) = 9530054784 / 4
LCM(97612,97632) = 2382513696

Least Common Multiple (LCM) of 97612 and 97632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97612 and 97632. First we will calculate the prime factors of 97612 and 97632.

Prime Factorization of 97612

Prime Factorization of 97632

Now multiplying the highest exponent prime factors to calculate the LCM of 97612 and 97632.

LCM(97612,97632) = 2⁵ × 23¹ × 1061¹ × 3³ × 113¹
LCM(97612,97632) = 2382513696