What is the Least Common Multiple of 12648 and 12654?

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 12648 and 12654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12648 and 12654, than apply into the LCM equation.

GCF(12648,12654) = 6
LCM(12648,12654) = ( 12648 × 12654) / 6
LCM(12648,12654) = 160047792 / 6
LCM(12648,12654) = 26674632

Least Common Multiple (LCM) of 12648 and 12654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12648 and 12654. First we will calculate the prime factors of 12648 and 12654.

Prime Factorization of 12648

Prime Factorization of 12654

Now multiplying the highest exponent prime factors to calculate the LCM of 12648 and 12654.

LCM(12648,12654) = 2³ × 3² × 17¹ × 31¹ × 19¹ × 37¹
LCM(12648,12654) = 26674632