What is the Least Common Multiple of 91275 and 91284?

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 91275 and 91284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91275 and 91284, than apply into the LCM equation.

GCF(91275,91284) = 3
LCM(91275,91284) = ( 91275 × 91284) / 3
LCM(91275,91284) = 8331947100 / 3
LCM(91275,91284) = 2777315700

Least Common Multiple (LCM) of 91275 and 91284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91275 and 91284. First we will calculate the prime factors of 91275 and 91284.

Prime Factorization of 91275

Prime Factorization of 91284

Now multiplying the highest exponent prime factors to calculate the LCM of 91275 and 91284.

LCM(91275,91284) = 3¹ × 5² × 1217¹ × 2² × 7607¹
LCM(91275,91284) = 2777315700