What is the Least Common Multiple of 91240 and 91260?

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 91240 and 91260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91240 and 91260, than apply into the LCM equation.

GCF(91240,91260) = 20
LCM(91240,91260) = ( 91240 × 91260) / 20
LCM(91240,91260) = 8326562400 / 20
LCM(91240,91260) = 416328120

Least Common Multiple (LCM) of 91240 and 91260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91240 and 91260. First we will calculate the prime factors of 91240 and 91260.

Prime Factorization of 91240

Prime Factorization of 91260

Now multiplying the highest exponent prime factors to calculate the LCM of 91240 and 91260.

LCM(91240,91260) = 2³ × 5¹ × 2281¹ × 3³ × 13²
LCM(91240,91260) = 416328120