What is the Least Common Multiple of 44794 and 44812?

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 44794 and 44812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44794 and 44812, than apply into the LCM equation.

GCF(44794,44812) = 2
LCM(44794,44812) = ( 44794 × 44812) / 2
LCM(44794,44812) = 2007308728 / 2
LCM(44794,44812) = 1003654364

Least Common Multiple (LCM) of 44794 and 44812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44794 and 44812. First we will calculate the prime factors of 44794 and 44812.

Prime Factorization of 44794

Prime Factorization of 44812

Now multiplying the highest exponent prime factors to calculate the LCM of 44794 and 44812.

LCM(44794,44812) = 2² × 22397¹ × 17¹ × 659¹
LCM(44794,44812) = 1003654364