What is the Least Common Multiple of 18744 and 18756?

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 18744 and 18756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18744 and 18756, than apply into the LCM equation.

GCF(18744,18756) = 12
LCM(18744,18756) = ( 18744 × 18756) / 12
LCM(18744,18756) = 351562464 / 12
LCM(18744,18756) = 29296872

Least Common Multiple (LCM) of 18744 and 18756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18744 and 18756. First we will calculate the prime factors of 18744 and 18756.

Prime Factorization of 18744

Prime Factorization of 18756

Now multiplying the highest exponent prime factors to calculate the LCM of 18744 and 18756.

LCM(18744,18756) = 2³ × 3² × 11¹ × 71¹ × 521¹
LCM(18744,18756) = 29296872