What is the Least Common Multiple of 91260 and 91278?

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 91260 and 91278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91260 and 91278, than apply into the LCM equation.

GCF(91260,91278) = 18
LCM(91260,91278) = ( 91260 × 91278) / 18
LCM(91260,91278) = 8330030280 / 18
LCM(91260,91278) = 462779460

Least Common Multiple (LCM) of 91260 and 91278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91260 and 91278. First we will calculate the prime factors of 91260 and 91278.

Prime Factorization of 91260

Prime Factorization of 91278

Now multiplying the highest exponent prime factors to calculate the LCM of 91260 and 91278.

LCM(91260,91278) = 2² × 3³ × 5¹ × 13² × 11¹ × 461¹
LCM(91260,91278) = 462779460