What is the Least Common Multiple of 56480 and 56490?

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 56480 and 56490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56480 and 56490, than apply into the LCM equation.

GCF(56480,56490) = 10
LCM(56480,56490) = ( 56480 × 56490) / 10
LCM(56480,56490) = 3190555200 / 10
LCM(56480,56490) = 319055520

Least Common Multiple (LCM) of 56480 and 56490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56480 and 56490. First we will calculate the prime factors of 56480 and 56490.

Prime Factorization of 56480

Prime Factorization of 56490

Now multiplying the highest exponent prime factors to calculate the LCM of 56480 and 56490.

LCM(56480,56490) = 2⁵ × 5¹ × 353¹ × 3¹ × 7¹ × 269¹
LCM(56480,56490) = 319055520