What is the Least Common Multiple of 73992 and 74004?

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 73992 and 74004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73992 and 74004, than apply into the LCM equation.

GCF(73992,74004) = 12
LCM(73992,74004) = ( 73992 × 74004) / 12
LCM(73992,74004) = 5475703968 / 12
LCM(73992,74004) = 456308664

Least Common Multiple (LCM) of 73992 and 74004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73992 and 74004. First we will calculate the prime factors of 73992 and 74004.

Prime Factorization of 73992

Prime Factorization of 74004

Now multiplying the highest exponent prime factors to calculate the LCM of 73992 and 74004.

LCM(73992,74004) = 2³ × 3¹ × 3083¹ × 7¹ × 881¹
LCM(73992,74004) = 456308664