What is the Least Common Multiple of 12642 and 12662?

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 12662 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 12662, than apply into the LCM equation.

GCF(12642,12662) = 2
LCM(12642,12662) = ( 12642 × 12662) / 2
LCM(12642,12662) = 160073004 / 2
LCM(12642,12662) = 80036502

Least Common Multiple (LCM) of 12642 and 12662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12642 and 12662. First we will calculate the prime factors of 12642 and 12662.

Prime Factorization of 12642

Prime Factorization of 12662

Now multiplying the highest exponent prime factors to calculate the LCM of 12642 and 12662.

LCM(12642,12662) = 2¹ × 3¹ × 7² × 43¹ × 13¹ × 487¹
LCM(12642,12662) = 80036502