What is the Least Common Multiple of 40992 and 41004?

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 41004 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 41004, than apply into the LCM equation.

GCF(40992,41004) = 12
LCM(40992,41004) = ( 40992 × 41004) / 12
LCM(40992,41004) = 1680835968 / 12
LCM(40992,41004) = 140069664

Least Common Multiple (LCM) of 40992 and 41004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40992 and 41004. First we will calculate the prime factors of 40992 and 41004.

Prime Factorization of 40992

Prime Factorization of 41004

Now multiplying the highest exponent prime factors to calculate the LCM of 40992 and 41004.

LCM(40992,41004) = 2⁵ × 3² × 7¹ × 61¹ × 17¹ × 67¹
LCM(40992,41004) = 140069664