What is the Least Common Multiple of 72988 and 73008?

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 72988 and 73008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72988 and 73008, than apply into the LCM equation.

GCF(72988,73008) = 4
LCM(72988,73008) = ( 72988 × 73008) / 4
LCM(72988,73008) = 5328707904 / 4
LCM(72988,73008) = 1332176976

Least Common Multiple (LCM) of 72988 and 73008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72988 and 73008. First we will calculate the prime factors of 72988 and 73008.

Prime Factorization of 72988

Prime Factorization of 73008

Now multiplying the highest exponent prime factors to calculate the LCM of 72988 and 73008.

LCM(72988,73008) = 2⁴ × 71¹ × 257¹ × 3³ × 13²
LCM(72988,73008) = 1332176976