What is the Least Common Multiple of 12642 and 12651?

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 12642 and 12651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12642 and 12651, than apply into the LCM equation.

GCF(12642,12651) = 3
LCM(12642,12651) = ( 12642 × 12651) / 3
LCM(12642,12651) = 159933942 / 3
LCM(12642,12651) = 53311314

Least Common Multiple (LCM) of 12642 and 12651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12642 and 12651. First we will calculate the prime factors of 12642 and 12651.

Prime Factorization of 12642

Prime Factorization of 12651

Now multiplying the highest exponent prime factors to calculate the LCM of 12642 and 12651.

LCM(12642,12651) = 2¹ × 3¹ × 7² × 43¹ × 4217¹
LCM(12642,12651) = 53311314