What is the Least Common Multiple of 25008 and 25017?

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 25008 and 25017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25008 and 25017, than apply into the LCM equation.

GCF(25008,25017) = 3
LCM(25008,25017) = ( 25008 × 25017) / 3
LCM(25008,25017) = 625625136 / 3
LCM(25008,25017) = 208541712

Least Common Multiple (LCM) of 25008 and 25017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25008 and 25017. First we will calculate the prime factors of 25008 and 25017.

Prime Factorization of 25008

Prime Factorization of 25017

Now multiplying the highest exponent prime factors to calculate the LCM of 25008 and 25017.

LCM(25008,25017) = 2⁴ × 3¹ × 521¹ × 31¹ × 269¹
LCM(25008,25017) = 208541712