What is the Least Common Multiple of 12654 and 12673?

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 12654 and 12673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12654 and 12673, than apply into the LCM equation.

GCF(12654,12673) = 19
LCM(12654,12673) = ( 12654 × 12673) / 19
LCM(12654,12673) = 160364142 / 19
LCM(12654,12673) = 8440218

Least Common Multiple (LCM) of 12654 and 12673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12654 and 12673. First we will calculate the prime factors of 12654 and 12673.

Prime Factorization of 12654

Prime Factorization of 12673

Now multiplying the highest exponent prime factors to calculate the LCM of 12654 and 12673.

LCM(12654,12673) = 2¹ × 3² × 19¹ × 37¹ × 23¹ × 29¹
LCM(12654,12673) = 8440218