What is the Least Common Multiple of 73140 and 73158?

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 73140 and 73158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73140 and 73158, than apply into the LCM equation.

GCF(73140,73158) = 6
LCM(73140,73158) = ( 73140 × 73158) / 6
LCM(73140,73158) = 5350776120 / 6
LCM(73140,73158) = 891796020

Least Common Multiple (LCM) of 73140 and 73158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73140 and 73158. First we will calculate the prime factors of 73140 and 73158.

Prime Factorization of 73140

Prime Factorization of 73158

Now multiplying the highest exponent prime factors to calculate the LCM of 73140 and 73158.

LCM(73140,73158) = 2² × 3¹ × 5¹ × 23¹ × 53¹ × 89¹ × 137¹
LCM(73140,73158) = 891796020