What is the Least Common Multiple of 25725 and 25732?

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 25725 and 25732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25725 and 25732, than apply into the LCM equation.

GCF(25725,25732) = 7
LCM(25725,25732) = ( 25725 × 25732) / 7
LCM(25725,25732) = 661955700 / 7
LCM(25725,25732) = 94565100

Least Common Multiple (LCM) of 25725 and 25732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25725 and 25732. First we will calculate the prime factors of 25725 and 25732.

Prime Factorization of 25725

Prime Factorization of 25732

Now multiplying the highest exponent prime factors to calculate the LCM of 25725 and 25732.

LCM(25725,25732) = 3¹ × 5² × 7³ × 2² × 919¹
LCM(25725,25732) = 94565100