What is the Least Common Multiple of 43992 and 44007?

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 43992 and 44007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43992 and 44007, than apply into the LCM equation.

GCF(43992,44007) = 3
LCM(43992,44007) = ( 43992 × 44007) / 3
LCM(43992,44007) = 1935955944 / 3
LCM(43992,44007) = 645318648

Least Common Multiple (LCM) of 43992 and 44007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43992 and 44007. First we will calculate the prime factors of 43992 and 44007.

Prime Factorization of 43992

Prime Factorization of 44007

Now multiplying the highest exponent prime factors to calculate the LCM of 43992 and 44007.

LCM(43992,44007) = 2³ × 3² × 13¹ × 47¹ × 14669¹
LCM(43992,44007) = 645318648