What is the Least Common Multiple of 96072 and 96076?

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 96076 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 96076, than apply into the LCM equation.

GCF(96072,96076) = 4
LCM(96072,96076) = ( 96072 × 96076) / 4
LCM(96072,96076) = 9230213472 / 4
LCM(96072,96076) = 2307553368

Least Common Multiple (LCM) of 96072 and 96076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96072 and 96076. First we will calculate the prime factors of 96072 and 96076.

Prime Factorization of 96072

Prime Factorization of 96076

Now multiplying the highest exponent prime factors to calculate the LCM of 96072 and 96076.

LCM(96072,96076) = 2³ × 3¹ × 4003¹ × 24019¹
LCM(96072,96076) = 2307553368