What is the Least Common Multiple of 65008 and 65025?

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 65008 and 65025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65008 and 65025, than apply into the LCM equation.

GCF(65008,65025) = 17
LCM(65008,65025) = ( 65008 × 65025) / 17
LCM(65008,65025) = 4227145200 / 17
LCM(65008,65025) = 248655600

Least Common Multiple (LCM) of 65008 and 65025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65008 and 65025. First we will calculate the prime factors of 65008 and 65025.

Prime Factorization of 65008

Prime Factorization of 65025

Now multiplying the highest exponent prime factors to calculate the LCM of 65008 and 65025.

LCM(65008,65025) = 2⁴ × 17² × 239¹ × 3² × 5²
LCM(65008,65025) = 248655600