What is the Least Common Multiple of 44792 and 44810?

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 44792 and 44810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44792 and 44810, than apply into the LCM equation.

GCF(44792,44810) = 2
LCM(44792,44810) = ( 44792 × 44810) / 2
LCM(44792,44810) = 2007129520 / 2
LCM(44792,44810) = 1003564760

Least Common Multiple (LCM) of 44792 and 44810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44792 and 44810. First we will calculate the prime factors of 44792 and 44810.

Prime Factorization of 44792

Prime Factorization of 44810

Now multiplying the highest exponent prime factors to calculate the LCM of 44792 and 44810.

LCM(44792,44810) = 2³ × 11¹ × 509¹ × 5¹ × 4481¹
LCM(44792,44810) = 1003564760