What is the Least Common Multiple of 96024 and 96042?

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 96024 and 96042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96024 and 96042, than apply into the LCM equation.

GCF(96024,96042) = 6
LCM(96024,96042) = ( 96024 × 96042) / 6
LCM(96024,96042) = 9222337008 / 6
LCM(96024,96042) = 1537056168

Least Common Multiple (LCM) of 96024 and 96042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96024 and 96042. First we will calculate the prime factors of 96024 and 96042.

Prime Factorization of 96024

Prime Factorization of 96042

Now multiplying the highest exponent prime factors to calculate the LCM of 96024 and 96042.

LCM(96024,96042) = 2³ × 3¹ × 4001¹ × 16007¹
LCM(96024,96042) = 1537056168