What is the Least Common Multiple of 96450 and 96456?

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 96450 and 96456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96450 and 96456, than apply into the LCM equation.

GCF(96450,96456) = 6
LCM(96450,96456) = ( 96450 × 96456) / 6
LCM(96450,96456) = 9303181200 / 6
LCM(96450,96456) = 1550530200

Least Common Multiple (LCM) of 96450 and 96456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96450 and 96456. First we will calculate the prime factors of 96450 and 96456.

Prime Factorization of 96450

Prime Factorization of 96456

Now multiplying the highest exponent prime factors to calculate the LCM of 96450 and 96456.

LCM(96450,96456) = 2³ × 3¹ × 5² × 643¹ × 4019¹
LCM(96450,96456) = 1550530200