What is the Least Common Multiple of 25745 and 25750?

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 25745 and 25750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25745 and 25750, than apply into the LCM equation.

GCF(25745,25750) = 5
LCM(25745,25750) = ( 25745 × 25750) / 5
LCM(25745,25750) = 662933750 / 5
LCM(25745,25750) = 132586750

Least Common Multiple (LCM) of 25745 and 25750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25745 and 25750. First we will calculate the prime factors of 25745 and 25750.

Prime Factorization of 25745

Prime Factorization of 25750

Now multiplying the highest exponent prime factors to calculate the LCM of 25745 and 25750.

LCM(25745,25750) = 5³ × 19¹ × 271¹ × 2¹ × 103¹
LCM(25745,25750) = 132586750