What is the Least Common Multiple of 25836 and 25854?

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 25836 and 25854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25836 and 25854, than apply into the LCM equation.

GCF(25836,25854) = 6
LCM(25836,25854) = ( 25836 × 25854) / 6
LCM(25836,25854) = 667963944 / 6
LCM(25836,25854) = 111327324

Least Common Multiple (LCM) of 25836 and 25854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25836 and 25854. First we will calculate the prime factors of 25836 and 25854.

Prime Factorization of 25836

Prime Factorization of 25854

Now multiplying the highest exponent prime factors to calculate the LCM of 25836 and 25854.

LCM(25836,25854) = 2² × 3¹ × 2153¹ × 31¹ × 139¹
LCM(25836,25854) = 111327324