What is the Least Common Multiple of 96072 and 96081?

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 96081 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 96081, than apply into the LCM equation.

GCF(96072,96081) = 3
LCM(96072,96081) = ( 96072 × 96081) / 3
LCM(96072,96081) = 9230693832 / 3
LCM(96072,96081) = 3076897944

Least Common Multiple (LCM) of 96072 and 96081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96072 and 96081. First we will calculate the prime factors of 96072 and 96081.

Prime Factorization of 96072

Prime Factorization of 96081

Now multiplying the highest exponent prime factors to calculate the LCM of 96072 and 96081.

LCM(96072,96081) = 2³ × 3¹ × 4003¹ × 32027¹
LCM(96072,96081) = 3076897944