What is the Least Common Multiple of 97632 and 97651?

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 97651 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 97651, than apply into the LCM equation.

GCF(97632,97651) = 1
LCM(97632,97651) = ( 97632 × 97651) / 1
LCM(97632,97651) = 9533862432 / 1
LCM(97632,97651) = 9533862432

Least Common Multiple (LCM) of 97632 and 97651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97632 and 97651. First we will calculate the prime factors of 97632 and 97651.

Prime Factorization of 97632

Prime Factorization of 97651

Now multiplying the highest exponent prime factors to calculate the LCM of 97632 and 97651.

LCM(97632,97651) = 2⁵ × 3³ × 113¹ × 97651¹
LCM(97632,97651) = 9533862432