What is the Least Common Multiple of 72005 and 72025?

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 72025 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 72025, than apply into the LCM equation.

GCF(72005,72025) = 5
LCM(72005,72025) = ( 72005 × 72025) / 5
LCM(72005,72025) = 5186160125 / 5
LCM(72005,72025) = 1037232025

Least Common Multiple (LCM) of 72005 and 72025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72005 and 72025. First we will calculate the prime factors of 72005 and 72025.

Prime Factorization of 72005

Prime Factorization of 72025

Now multiplying the highest exponent prime factors to calculate the LCM of 72005 and 72025.

LCM(72005,72025) = 5² × 14401¹ × 43¹ × 67¹
LCM(72005,72025) = 1037232025