What is the Least Common Multiple of 91095 and 91101?

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 91095 and 91101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91095 and 91101, than apply into the LCM equation.

GCF(91095,91101) = 3
LCM(91095,91101) = ( 91095 × 91101) / 3
LCM(91095,91101) = 8298845595 / 3
LCM(91095,91101) = 2766281865

Least Common Multiple (LCM) of 91095 and 91101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91095 and 91101. First we will calculate the prime factors of 91095 and 91101.

Prime Factorization of 91095

Prime Factorization of 91101

Now multiplying the highest exponent prime factors to calculate the LCM of 91095 and 91101.

LCM(91095,91101) = 3¹ × 5¹ × 6073¹ × 30367¹
LCM(91095,91101) = 2766281865