What is the Least Common Multiple of 96072 and 96078?

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 96072 and 96078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96072 and 96078, than apply into the LCM equation.

GCF(96072,96078) = 6
LCM(96072,96078) = ( 96072 × 96078) / 6
LCM(96072,96078) = 9230405616 / 6
LCM(96072,96078) = 1538400936

Least Common Multiple (LCM) of 96072 and 96078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96072 and 96078. First we will calculate the prime factors of 96072 and 96078.

Prime Factorization of 96072

Prime Factorization of 96078

Now multiplying the highest exponent prime factors to calculate the LCM of 96072 and 96078.

LCM(96072,96078) = 2³ × 3¹ × 4003¹ × 67¹ × 239¹
LCM(96072,96078) = 1538400936