What is the Least Common Multiple of 73081 and 73097?

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 73081 and 73097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73081 and 73097, than apply into the LCM equation.

GCF(73081,73097) = 1
LCM(73081,73097) = ( 73081 × 73097) / 1
LCM(73081,73097) = 5342001857 / 1
LCM(73081,73097) = 5342001857

Least Common Multiple (LCM) of 73081 and 73097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73081 and 73097. First we will calculate the prime factors of 73081 and 73097.

Prime Factorization of 73081

Prime Factorization of 73097

Now multiplying the highest exponent prime factors to calculate the LCM of 73081 and 73097.

LCM(73081,73097) = 107¹ × 683¹ × 67¹ × 1091¹
LCM(73081,73097) = 5342001857