What is the Least Common Multiple of 73068 and 73088?

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 73068 and 73088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73068 and 73088, than apply into the LCM equation.

GCF(73068,73088) = 4
LCM(73068,73088) = ( 73068 × 73088) / 4
LCM(73068,73088) = 5340393984 / 4
LCM(73068,73088) = 1335098496

Least Common Multiple (LCM) of 73068 and 73088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73068 and 73088. First we will calculate the prime factors of 73068 and 73088.

Prime Factorization of 73068

Prime Factorization of 73088

Now multiplying the highest exponent prime factors to calculate the LCM of 73068 and 73088.

LCM(73068,73088) = 2⁷ × 3¹ × 6089¹ × 571¹
LCM(73068,73088) = 1335098496