What is the Least Common Multiple of 18840 and 18849?

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 18840 and 18849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18840 and 18849, than apply into the LCM equation.

GCF(18840,18849) = 3
LCM(18840,18849) = ( 18840 × 18849) / 3
LCM(18840,18849) = 355115160 / 3
LCM(18840,18849) = 118371720

Least Common Multiple (LCM) of 18840 and 18849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18840 and 18849. First we will calculate the prime factors of 18840 and 18849.

Prime Factorization of 18840

Prime Factorization of 18849

Now multiplying the highest exponent prime factors to calculate the LCM of 18840 and 18849.

LCM(18840,18849) = 2³ × 3¹ × 5¹ × 157¹ × 61¹ × 103¹
LCM(18840,18849) = 118371720