What is the Least Common Multiple of 53072 and 53081?

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 53072 and 53081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53072 and 53081, than apply into the LCM equation.

GCF(53072,53081) = 1
LCM(53072,53081) = ( 53072 × 53081) / 1
LCM(53072,53081) = 2817114832 / 1
LCM(53072,53081) = 2817114832

Least Common Multiple (LCM) of 53072 and 53081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53072 and 53081. First we will calculate the prime factors of 53072 and 53081.

Prime Factorization of 53072

Prime Factorization of 53081

Now multiplying the highest exponent prime factors to calculate the LCM of 53072 and 53081.

LCM(53072,53081) = 2⁴ × 31¹ × 107¹ × 7¹ × 7583¹
LCM(53072,53081) = 2817114832