What is the Least Common Multiple of 96279 and 96285?

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 96279 and 96285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96279 and 96285, than apply into the LCM equation.

GCF(96279,96285) = 3
LCM(96279,96285) = ( 96279 × 96285) / 3
LCM(96279,96285) = 9270223515 / 3
LCM(96279,96285) = 3090074505

Least Common Multiple (LCM) of 96279 and 96285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96279 and 96285. First we will calculate the prime factors of 96279 and 96285.

Prime Factorization of 96279

Prime Factorization of 96285

Now multiplying the highest exponent prime factors to calculate the LCM of 96279 and 96285.

LCM(96279,96285) = 3¹ × 67¹ × 479¹ × 5¹ × 7² × 131¹
LCM(96279,96285) = 3090074505