What is the Least Common Multiple of 91230 and 91240?

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 91230 and 91240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91230 and 91240, than apply into the LCM equation.

GCF(91230,91240) = 10
LCM(91230,91240) = ( 91230 × 91240) / 10
LCM(91230,91240) = 8323825200 / 10
LCM(91230,91240) = 832382520

Least Common Multiple (LCM) of 91230 and 91240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91230 and 91240. First we will calculate the prime factors of 91230 and 91240.

Prime Factorization of 91230

Prime Factorization of 91240

Now multiplying the highest exponent prime factors to calculate the LCM of 91230 and 91240.

LCM(91230,91240) = 2³ × 3¹ × 5¹ × 3041¹ × 2281¹
LCM(91230,91240) = 832382520