What is the Least Common Multiple of 91114 and 91123?

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 91114 and 91123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91114 and 91123, than apply into the LCM equation.

GCF(91114,91123) = 1
LCM(91114,91123) = ( 91114 × 91123) / 1
LCM(91114,91123) = 8302581022 / 1
LCM(91114,91123) = 8302581022

Least Common Multiple (LCM) of 91114 and 91123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91114 and 91123. First we will calculate the prime factors of 91114 and 91123.

Prime Factorization of 91114

Prime Factorization of 91123

Now multiplying the highest exponent prime factors to calculate the LCM of 91114 and 91123.

LCM(91114,91123) = 2¹ × 45557¹ × 293¹ × 311¹
LCM(91114,91123) = 8302581022