What is the Least Common Multiple of 72992 and 73001?

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 72992 and 73001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72992 and 73001, than apply into the LCM equation.

GCF(72992,73001) = 1
LCM(72992,73001) = ( 72992 × 73001) / 1
LCM(72992,73001) = 5328488992 / 1
LCM(72992,73001) = 5328488992

Least Common Multiple (LCM) of 72992 and 73001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72992 and 73001. First we will calculate the prime factors of 72992 and 73001.

Prime Factorization of 72992

Prime Factorization of 73001

Now multiplying the highest exponent prime factors to calculate the LCM of 72992 and 73001.

LCM(72992,73001) = 2⁵ × 2281¹ × 37¹ × 1973¹
LCM(72992,73001) = 5328488992