What is the Least Common Multiple of 97632 and 97646?

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 97632 and 97646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97632 and 97646, than apply into the LCM equation.

GCF(97632,97646) = 2
LCM(97632,97646) = ( 97632 × 97646) / 2
LCM(97632,97646) = 9533374272 / 2
LCM(97632,97646) = 4766687136

Least Common Multiple (LCM) of 97632 and 97646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97632 and 97646. First we will calculate the prime factors of 97632 and 97646.

Prime Factorization of 97632

Prime Factorization of 97646

Now multiplying the highest exponent prime factors to calculate the LCM of 97632 and 97646.

LCM(97632,97646) = 2⁵ × 3³ × 113¹ × 48823¹
LCM(97632,97646) = 4766687136