What is the Least Common Multiple of 25641 and 25657?

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 25641 and 25657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25641 and 25657, than apply into the LCM equation.

GCF(25641,25657) = 1
LCM(25641,25657) = ( 25641 × 25657) / 1
LCM(25641,25657) = 657871137 / 1
LCM(25641,25657) = 657871137

Least Common Multiple (LCM) of 25641 and 25657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25641 and 25657. First we will calculate the prime factors of 25641 and 25657.

Prime Factorization of 25641

Prime Factorization of 25657

Now multiplying the highest exponent prime factors to calculate the LCM of 25641 and 25657.

LCM(25641,25657) = 3² × 7¹ × 11¹ × 37¹ × 25657¹
LCM(25641,25657) = 657871137