What is the Least Common Multiple of 91149 and 91164?

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 91149 and 91164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91149 and 91164, than apply into the LCM equation.

GCF(91149,91164) = 3
LCM(91149,91164) = ( 91149 × 91164) / 3
LCM(91149,91164) = 8309507436 / 3
LCM(91149,91164) = 2769835812

Least Common Multiple (LCM) of 91149 and 91164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91149 and 91164. First we will calculate the prime factors of 91149 and 91164.

Prime Factorization of 91149

Prime Factorization of 91164

Now multiplying the highest exponent prime factors to calculate the LCM of 91149 and 91164.

LCM(91149,91164) = 3¹ × 23¹ × 1321¹ × 2² × 71¹ × 107¹
LCM(91149,91164) = 2769835812