What is the Least Common Multiple of 25581 and 25599?

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 25581 and 25599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25581 and 25599, than apply into the LCM equation.

GCF(25581,25599) = 3
LCM(25581,25599) = ( 25581 × 25599) / 3
LCM(25581,25599) = 654848019 / 3
LCM(25581,25599) = 218282673

Least Common Multiple (LCM) of 25581 and 25599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25581 and 25599. First we will calculate the prime factors of 25581 and 25599.

Prime Factorization of 25581

Prime Factorization of 25599

Now multiplying the highest exponent prime factors to calculate the LCM of 25581 and 25599.

LCM(25581,25599) = 3¹ × 8527¹ × 7¹ × 23¹ × 53¹
LCM(25581,25599) = 218282673