What is the Least Common Multiple of 73052 and 73072?

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 73052 and 73072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73052 and 73072, than apply into the LCM equation.

GCF(73052,73072) = 4
LCM(73052,73072) = ( 73052 × 73072) / 4
LCM(73052,73072) = 5338055744 / 4
LCM(73052,73072) = 1334513936

Least Common Multiple (LCM) of 73052 and 73072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73052 and 73072. First we will calculate the prime factors of 73052 and 73072.

Prime Factorization of 73052

Prime Factorization of 73072

Now multiplying the highest exponent prime factors to calculate the LCM of 73052 and 73072.

LCM(73052,73072) = 2⁴ × 7¹ × 2609¹ × 4567¹
LCM(73052,73072) = 1334513936