What is the Least Common Multiple of 12633 and 12648?

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 12633 and 12648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12633 and 12648, than apply into the LCM equation.

GCF(12633,12648) = 3
LCM(12633,12648) = ( 12633 × 12648) / 3
LCM(12633,12648) = 159782184 / 3
LCM(12633,12648) = 53260728

Least Common Multiple (LCM) of 12633 and 12648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12633 and 12648. First we will calculate the prime factors of 12633 and 12648.

Prime Factorization of 12633

Prime Factorization of 12648

Now multiplying the highest exponent prime factors to calculate the LCM of 12633 and 12648.

LCM(12633,12648) = 3¹ × 4211¹ × 2³ × 17¹ × 31¹
LCM(12633,12648) = 53260728