What is the Least Common Multiple of 25350 and 25359?

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 25350 and 25359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25350 and 25359, than apply into the LCM equation.

GCF(25350,25359) = 3
LCM(25350,25359) = ( 25350 × 25359) / 3
LCM(25350,25359) = 642850650 / 3
LCM(25350,25359) = 214283550

Least Common Multiple (LCM) of 25350 and 25359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25350 and 25359. First we will calculate the prime factors of 25350 and 25359.

Prime Factorization of 25350

Prime Factorization of 25359

Now multiplying the highest exponent prime factors to calculate the LCM of 25350 and 25359.

LCM(25350,25359) = 2¹ × 3¹ × 5² × 13² × 79¹ × 107¹
LCM(25350,25359) = 214283550