What is the Least Common Multiple of 73128 and 73142?

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 73128 and 73142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73128 and 73142, than apply into the LCM equation.

GCF(73128,73142) = 2
LCM(73128,73142) = ( 73128 × 73142) / 2
LCM(73128,73142) = 5348728176 / 2
LCM(73128,73142) = 2674364088

Least Common Multiple (LCM) of 73128 and 73142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73128 and 73142. First we will calculate the prime factors of 73128 and 73142.

Prime Factorization of 73128

Prime Factorization of 73142

Now multiplying the highest exponent prime factors to calculate the LCM of 73128 and 73142.

LCM(73128,73142) = 2³ × 3¹ × 11¹ × 277¹ × 36571¹
LCM(73128,73142) = 2674364088