What is the Least Common Multiple of 12636 and 12643?

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 12636 and 12643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12636 and 12643, than apply into the LCM equation.

GCF(12636,12643) = 1
LCM(12636,12643) = ( 12636 × 12643) / 1
LCM(12636,12643) = 159756948 / 1
LCM(12636,12643) = 159756948

Least Common Multiple (LCM) of 12636 and 12643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12636 and 12643. First we will calculate the prime factors of 12636 and 12643.

Prime Factorization of 12636

Prime Factorization of 12643

Now multiplying the highest exponent prime factors to calculate the LCM of 12636 and 12643.

LCM(12636,12643) = 2² × 3⁵ × 13¹ × 47¹ × 269¹
LCM(12636,12643) = 159756948