What is the Least Common Multiple of 18370 and 18390?

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 18370 and 18390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18370 and 18390, than apply into the LCM equation.

GCF(18370,18390) = 10
LCM(18370,18390) = ( 18370 × 18390) / 10
LCM(18370,18390) = 337824300 / 10
LCM(18370,18390) = 33782430

Least Common Multiple (LCM) of 18370 and 18390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18370 and 18390. First we will calculate the prime factors of 18370 and 18390.

Prime Factorization of 18370

Prime Factorization of 18390

Now multiplying the highest exponent prime factors to calculate the LCM of 18370 and 18390.

LCM(18370,18390) = 2¹ × 5¹ × 11¹ × 167¹ × 3¹ × 613¹
LCM(18370,18390) = 33782430