What is the Least Common Multiple of 12666 and 12683?

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 12666 and 12683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12666 and 12683, than apply into the LCM equation.

GCF(12666,12683) = 1
LCM(12666,12683) = ( 12666 × 12683) / 1
LCM(12666,12683) = 160642878 / 1
LCM(12666,12683) = 160642878

Least Common Multiple (LCM) of 12666 and 12683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12666 and 12683. First we will calculate the prime factors of 12666 and 12683.

Prime Factorization of 12666

Prime Factorization of 12683

Now multiplying the highest exponent prime factors to calculate the LCM of 12666 and 12683.

LCM(12666,12683) = 2¹ × 3¹ × 2111¹ × 11¹ × 1153¹
LCM(12666,12683) = 160642878