What is the Least Common Multiple of 72992 and 73005?

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 73005 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 73005, than apply into the LCM equation.

GCF(72992,73005) = 1
LCM(72992,73005) = ( 72992 × 73005) / 1
LCM(72992,73005) = 5328780960 / 1
LCM(72992,73005) = 5328780960

Least Common Multiple (LCM) of 72992 and 73005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72992 and 73005. First we will calculate the prime factors of 72992 and 73005.

Prime Factorization of 72992

Prime Factorization of 73005

Now multiplying the highest exponent prime factors to calculate the LCM of 72992 and 73005.

LCM(72992,73005) = 2⁵ × 2281¹ × 3¹ × 5¹ × 31¹ × 157¹
LCM(72992,73005) = 5328780960