What is the Least Common Multiple of 18849 and 18856?

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 18849 and 18856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18849 and 18856, than apply into the LCM equation.

GCF(18849,18856) = 1
LCM(18849,18856) = ( 18849 × 18856) / 1
LCM(18849,18856) = 355416744 / 1
LCM(18849,18856) = 355416744

Least Common Multiple (LCM) of 18849 and 18856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18849 and 18856. First we will calculate the prime factors of 18849 and 18856.

Prime Factorization of 18849

Prime Factorization of 18856

Now multiplying the highest exponent prime factors to calculate the LCM of 18849 and 18856.

LCM(18849,18856) = 3¹ × 61¹ × 103¹ × 2³ × 2357¹
LCM(18849,18856) = 355416744