What is the Least Common Multiple of 12635 and 12642?

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 12635 and 12642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12635 and 12642, than apply into the LCM equation.

GCF(12635,12642) = 7
LCM(12635,12642) = ( 12635 × 12642) / 7
LCM(12635,12642) = 159731670 / 7
LCM(12635,12642) = 22818810

Least Common Multiple (LCM) of 12635 and 12642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12635 and 12642. First we will calculate the prime factors of 12635 and 12642.

Prime Factorization of 12635

Prime Factorization of 12642

Now multiplying the highest exponent prime factors to calculate the LCM of 12635 and 12642.

LCM(12635,12642) = 5¹ × 7² × 19² × 2¹ × 3¹ × 43¹
LCM(12635,12642) = 22818810