What is the Least Common Multiple of 25800 and 25820?

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 25800 and 25820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25800 and 25820, than apply into the LCM equation.

GCF(25800,25820) = 20
LCM(25800,25820) = ( 25800 × 25820) / 20
LCM(25800,25820) = 666156000 / 20
LCM(25800,25820) = 33307800

Least Common Multiple (LCM) of 25800 and 25820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25800 and 25820. First we will calculate the prime factors of 25800 and 25820.

Prime Factorization of 25800

Prime Factorization of 25820

Now multiplying the highest exponent prime factors to calculate the LCM of 25800 and 25820.

LCM(25800,25820) = 2³ × 3¹ × 5² × 43¹ × 1291¹
LCM(25800,25820) = 33307800