What is the Least Common Multiple of 91566 and 91572?

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 91572 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 91572, than apply into the LCM equation.

GCF(91566,91572) = 6
LCM(91566,91572) = ( 91566 × 91572) / 6
LCM(91566,91572) = 8384881752 / 6
LCM(91566,91572) = 1397480292

Least Common Multiple (LCM) of 91566 and 91572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91566 and 91572. First we will calculate the prime factors of 91566 and 91572.

Prime Factorization of 91566

Prime Factorization of 91572

Now multiplying the highest exponent prime factors to calculate the LCM of 91566 and 91572.

LCM(91566,91572) = 2² × 3² × 5087¹ × 13¹ × 587¹
LCM(91566,91572) = 1397480292