What is the Least Common Multiple of 40992 and 41007?

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 40992 and 41007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40992 and 41007, than apply into the LCM equation.

GCF(40992,41007) = 3
LCM(40992,41007) = ( 40992 × 41007) / 3
LCM(40992,41007) = 1680958944 / 3
LCM(40992,41007) = 560319648

Least Common Multiple (LCM) of 40992 and 41007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40992 and 41007. First we will calculate the prime factors of 40992 and 41007.

Prime Factorization of 40992

Prime Factorization of 41007

Now multiplying the highest exponent prime factors to calculate the LCM of 40992 and 41007.

LCM(40992,41007) = 2⁵ × 3¹ × 7¹ × 61¹ × 13669¹
LCM(40992,41007) = 560319648