What is the Least Common Multiple of 25356 and 25365?

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 25356 and 25365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25356 and 25365, than apply into the LCM equation.

GCF(25356,25365) = 3
LCM(25356,25365) = ( 25356 × 25365) / 3
LCM(25356,25365) = 643154940 / 3
LCM(25356,25365) = 214384980

Least Common Multiple (LCM) of 25356 and 25365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25356 and 25365. First we will calculate the prime factors of 25356 and 25365.

Prime Factorization of 25356

Prime Factorization of 25365

Now multiplying the highest exponent prime factors to calculate the LCM of 25356 and 25365.

LCM(25356,25365) = 2² × 3¹ × 2113¹ × 5¹ × 19¹ × 89¹
LCM(25356,25365) = 214384980