What is the Least Common Multiple of 73091 and 73096?

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 73091 and 73096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73091 and 73096, than apply into the LCM equation.

GCF(73091,73096) = 1
LCM(73091,73096) = ( 73091 × 73096) / 1
LCM(73091,73096) = 5342659736 / 1
LCM(73091,73096) = 5342659736

Least Common Multiple (LCM) of 73091 and 73096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73091 and 73096. First we will calculate the prime factors of 73091 and 73096.

Prime Factorization of 73091

Prime Factorization of 73096

Now multiplying the highest exponent prime factors to calculate the LCM of 73091 and 73096.

LCM(73091,73096) = 73091¹ × 2³ × 9137¹
LCM(73091,73096) = 5342659736