What is the Least Common Multiple of 45792 and 45810?

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 45792 and 45810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45792 and 45810, than apply into the LCM equation.

GCF(45792,45810) = 18
LCM(45792,45810) = ( 45792 × 45810) / 18
LCM(45792,45810) = 2097731520 / 18
LCM(45792,45810) = 116540640

Least Common Multiple (LCM) of 45792 and 45810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45792 and 45810. First we will calculate the prime factors of 45792 and 45810.

Prime Factorization of 45792

Prime Factorization of 45810

Now multiplying the highest exponent prime factors to calculate the LCM of 45792 and 45810.

LCM(45792,45810) = 2⁵ × 3³ × 53¹ × 5¹ × 509¹
LCM(45792,45810) = 116540640