What is the Least Common Multiple of 73992 and 74008?

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 74008 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 74008, than apply into the LCM equation.

GCF(73992,74008) = 8
LCM(73992,74008) = ( 73992 × 74008) / 8
LCM(73992,74008) = 5475999936 / 8
LCM(73992,74008) = 684499992

Least Common Multiple (LCM) of 73992 and 74008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73992 and 74008. First we will calculate the prime factors of 73992 and 74008.

Prime Factorization of 73992

Prime Factorization of 74008

Now multiplying the highest exponent prime factors to calculate the LCM of 73992 and 74008.

LCM(73992,74008) = 2³ × 3¹ × 3083¹ × 11¹ × 29²
LCM(73992,74008) = 684499992