What is the Least Common Multiple of 25710 and 25725?

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 25710 and 25725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25710 and 25725, than apply into the LCM equation.

GCF(25710,25725) = 15
LCM(25710,25725) = ( 25710 × 25725) / 15
LCM(25710,25725) = 661389750 / 15
LCM(25710,25725) = 44092650

Least Common Multiple (LCM) of 25710 and 25725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25710 and 25725. First we will calculate the prime factors of 25710 and 25725.

Prime Factorization of 25710

Prime Factorization of 25725

Now multiplying the highest exponent prime factors to calculate the LCM of 25710 and 25725.

LCM(25710,25725) = 2¹ × 3¹ × 5² × 857¹ × 7³
LCM(25710,25725) = 44092650