What is the Least Common Multiple of 25836 and 25845?

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 25845 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 25845, than apply into the LCM equation.

GCF(25836,25845) = 3
LCM(25836,25845) = ( 25836 × 25845) / 3
LCM(25836,25845) = 667731420 / 3
LCM(25836,25845) = 222577140

Least Common Multiple (LCM) of 25836 and 25845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25836 and 25845. First we will calculate the prime factors of 25836 and 25845.

Prime Factorization of 25836

Prime Factorization of 25845

Now multiplying the highest exponent prime factors to calculate the LCM of 25836 and 25845.

LCM(25836,25845) = 2² × 3¹ × 2153¹ × 5¹ × 1723¹
LCM(25836,25845) = 222577140