What is the Least Common Multiple of 96060 and 96072?

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 96060 and 96072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96060 and 96072, than apply into the LCM equation.

GCF(96060,96072) = 12
LCM(96060,96072) = ( 96060 × 96072) / 12
LCM(96060,96072) = 9228676320 / 12
LCM(96060,96072) = 769056360

Least Common Multiple (LCM) of 96060 and 96072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96060 and 96072. First we will calculate the prime factors of 96060 and 96072.

Prime Factorization of 96060

Prime Factorization of 96072

Now multiplying the highest exponent prime factors to calculate the LCM of 96060 and 96072.

LCM(96060,96072) = 2³ × 3¹ × 5¹ × 1601¹ × 4003¹
LCM(96060,96072) = 769056360