What is the Least Common Multiple of 73120 and 73128?

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 73120 and 73128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73120 and 73128, than apply into the LCM equation.

GCF(73120,73128) = 8
LCM(73120,73128) = ( 73120 × 73128) / 8
LCM(73120,73128) = 5347119360 / 8
LCM(73120,73128) = 668389920

Least Common Multiple (LCM) of 73120 and 73128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73120 and 73128. First we will calculate the prime factors of 73120 and 73128.

Prime Factorization of 73120

Prime Factorization of 73128

Now multiplying the highest exponent prime factors to calculate the LCM of 73120 and 73128.

LCM(73120,73128) = 2⁵ × 5¹ × 457¹ × 3¹ × 11¹ × 277¹
LCM(73120,73128) = 668389920