What is the Least Common Multiple of 72005 and 72020?

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 72005 and 72020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72005 and 72020, than apply into the LCM equation.

GCF(72005,72020) = 5
LCM(72005,72020) = ( 72005 × 72020) / 5
LCM(72005,72020) = 5185800100 / 5
LCM(72005,72020) = 1037160020

Least Common Multiple (LCM) of 72005 and 72020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72005 and 72020. First we will calculate the prime factors of 72005 and 72020.

Prime Factorization of 72005

Prime Factorization of 72020

Now multiplying the highest exponent prime factors to calculate the LCM of 72005 and 72020.

LCM(72005,72020) = 5¹ × 14401¹ × 2² × 13¹ × 277¹
LCM(72005,72020) = 1037160020