What is the Least Common Multiple of 96480 and 96490?

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 96480 and 96490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96480 and 96490, than apply into the LCM equation.

GCF(96480,96490) = 10
LCM(96480,96490) = ( 96480 × 96490) / 10
LCM(96480,96490) = 9309355200 / 10
LCM(96480,96490) = 930935520

Least Common Multiple (LCM) of 96480 and 96490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96480 and 96490. First we will calculate the prime factors of 96480 and 96490.

Prime Factorization of 96480

Prime Factorization of 96490

Now multiplying the highest exponent prime factors to calculate the LCM of 96480 and 96490.

LCM(96480,96490) = 2⁵ × 3² × 5¹ × 67¹ × 9649¹
LCM(96480,96490) = 930935520