What is the Least Common Multiple of 91566 and 91580?

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 91566 and 91580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91566 and 91580, than apply into the LCM equation.

GCF(91566,91580) = 2
LCM(91566,91580) = ( 91566 × 91580) / 2
LCM(91566,91580) = 8385614280 / 2
LCM(91566,91580) = 4192807140

Least Common Multiple (LCM) of 91566 and 91580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91566 and 91580. First we will calculate the prime factors of 91566 and 91580.

Prime Factorization of 91566

Prime Factorization of 91580

Now multiplying the highest exponent prime factors to calculate the LCM of 91566 and 91580.

LCM(91566,91580) = 2² × 3² × 5087¹ × 5¹ × 19¹ × 241¹
LCM(91566,91580) = 4192807140