What is the Least Common Multiple of 25635 and 25642?

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 25635 and 25642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25635 and 25642, than apply into the LCM equation.

GCF(25635,25642) = 1
LCM(25635,25642) = ( 25635 × 25642) / 1
LCM(25635,25642) = 657332670 / 1
LCM(25635,25642) = 657332670

Least Common Multiple (LCM) of 25635 and 25642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25635 and 25642. First we will calculate the prime factors of 25635 and 25642.

Prime Factorization of 25635

Prime Factorization of 25642

Now multiplying the highest exponent prime factors to calculate the LCM of 25635 and 25642.

LCM(25635,25642) = 3¹ × 5¹ × 1709¹ × 2¹ × 12821¹
LCM(25635,25642) = 657332670