What is the Least Common Multiple of 25665 and 25675?

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 25665 and 25675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25665 and 25675, than apply into the LCM equation.

GCF(25665,25675) = 5
LCM(25665,25675) = ( 25665 × 25675) / 5
LCM(25665,25675) = 658948875 / 5
LCM(25665,25675) = 131789775

Least Common Multiple (LCM) of 25665 and 25675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25665 and 25675. First we will calculate the prime factors of 25665 and 25675.

Prime Factorization of 25665

Prime Factorization of 25675

Now multiplying the highest exponent prime factors to calculate the LCM of 25665 and 25675.

LCM(25665,25675) = 3¹ × 5² × 29¹ × 59¹ × 13¹ × 79¹
LCM(25665,25675) = 131789775