What is the Least Common Multiple of 25365 and 25372?

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 25365 and 25372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25365 and 25372, than apply into the LCM equation.

GCF(25365,25372) = 1
LCM(25365,25372) = ( 25365 × 25372) / 1
LCM(25365,25372) = 643560780 / 1
LCM(25365,25372) = 643560780

Least Common Multiple (LCM) of 25365 and 25372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25365 and 25372. First we will calculate the prime factors of 25365 and 25372.

Prime Factorization of 25365

Prime Factorization of 25372

Now multiplying the highest exponent prime factors to calculate the LCM of 25365 and 25372.

LCM(25365,25372) = 3¹ × 5¹ × 19¹ × 89¹ × 2² × 6343¹
LCM(25365,25372) = 643560780