What is the Least Common Multiple of 32005 and 32025?

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 32005 and 32025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32005 and 32025, than apply into the LCM equation.

GCF(32005,32025) = 5
LCM(32005,32025) = ( 32005 × 32025) / 5
LCM(32005,32025) = 1024960125 / 5
LCM(32005,32025) = 204992025

Least Common Multiple (LCM) of 32005 and 32025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32005 and 32025. First we will calculate the prime factors of 32005 and 32025.

Prime Factorization of 32005

Prime Factorization of 32025

Now multiplying the highest exponent prime factors to calculate the LCM of 32005 and 32025.

LCM(32005,32025) = 5² × 37¹ × 173¹ × 3¹ × 7¹ × 61¹
LCM(32005,32025) = 204992025