What is the Least Common Multiple of 45693 and 45697?

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 45693 and 45697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45693 and 45697, than apply into the LCM equation.

GCF(45693,45697) = 1
LCM(45693,45697) = ( 45693 × 45697) / 1
LCM(45693,45697) = 2088033021 / 1
LCM(45693,45697) = 2088033021

Least Common Multiple (LCM) of 45693 and 45697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45693 and 45697. First we will calculate the prime factors of 45693 and 45697.

Prime Factorization of 45693

Prime Factorization of 45697

Now multiplying the highest exponent prime factors to calculate the LCM of 45693 and 45697.

LCM(45693,45697) = 3² × 5077¹ × 45697¹
LCM(45693,45697) = 2088033021