What is the Least Common Multiple of 25365 and 25380?

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 25380 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 25380, than apply into the LCM equation.

GCF(25365,25380) = 15
LCM(25365,25380) = ( 25365 × 25380) / 15
LCM(25365,25380) = 643763700 / 15
LCM(25365,25380) = 42917580

Least Common Multiple (LCM) of 25365 and 25380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25365 and 25380. First we will calculate the prime factors of 25365 and 25380.

Prime Factorization of 25365

Prime Factorization of 25380

Now multiplying the highest exponent prime factors to calculate the LCM of 25365 and 25380.

LCM(25365,25380) = 3³ × 5¹ × 19¹ × 89¹ × 2² × 47¹
LCM(25365,25380) = 42917580