What is the Least Common Multiple of 25860 and 25875?

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 25860 and 25875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25860 and 25875, than apply into the LCM equation.

GCF(25860,25875) = 15
LCM(25860,25875) = ( 25860 × 25875) / 15
LCM(25860,25875) = 669127500 / 15
LCM(25860,25875) = 44608500

Least Common Multiple (LCM) of 25860 and 25875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25860 and 25875. First we will calculate the prime factors of 25860 and 25875.

Prime Factorization of 25860

Prime Factorization of 25875

Now multiplying the highest exponent prime factors to calculate the LCM of 25860 and 25875.

LCM(25860,25875) = 2² × 3² × 5³ × 431¹ × 23¹
LCM(25860,25875) = 44608500