What is the Least Common Multiple of 96075 and 96087?

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 96075 and 96087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96075 and 96087, than apply into the LCM equation.

GCF(96075,96087) = 3
LCM(96075,96087) = ( 96075 × 96087) / 3
LCM(96075,96087) = 9231558525 / 3
LCM(96075,96087) = 3077186175

Least Common Multiple (LCM) of 96075 and 96087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96075 and 96087. First we will calculate the prime factors of 96075 and 96087.

Prime Factorization of 96075

Prime Factorization of 96087

Now multiplying the highest exponent prime factors to calculate the LCM of 96075 and 96087.

LCM(96075,96087) = 3² × 5² × 7¹ × 61¹ × 32029¹
LCM(96075,96087) = 3077186175