What is the Least Common Multiple of 12658 and 12663?

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 12658 and 12663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12658 and 12663, than apply into the LCM equation.

GCF(12658,12663) = 1
LCM(12658,12663) = ( 12658 × 12663) / 1
LCM(12658,12663) = 160288254 / 1
LCM(12658,12663) = 160288254

Least Common Multiple (LCM) of 12658 and 12663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12658 and 12663. First we will calculate the prime factors of 12658 and 12663.

Prime Factorization of 12658

Prime Factorization of 12663

Now multiplying the highest exponent prime factors to calculate the LCM of 12658 and 12663.

LCM(12658,12663) = 2¹ × 6329¹ × 3³ × 7¹ × 67¹
LCM(12658,12663) = 160288254