What is the Least Common Multiple of 97575 and 97581?

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 97575 and 97581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97575 and 97581, than apply into the LCM equation.

GCF(97575,97581) = 3
LCM(97575,97581) = ( 97575 × 97581) / 3
LCM(97575,97581) = 9521466075 / 3
LCM(97575,97581) = 3173822025

Least Common Multiple (LCM) of 97575 and 97581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97575 and 97581. First we will calculate the prime factors of 97575 and 97581.

Prime Factorization of 97575

Prime Factorization of 97581

Now multiplying the highest exponent prime factors to calculate the LCM of 97575 and 97581.

LCM(97575,97581) = 3¹ × 5² × 1301¹ × 11¹ × 2957¹
LCM(97575,97581) = 3173822025