What is the Least Common Multiple of 18468 and 18483?

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 18468 and 18483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18468 and 18483, than apply into the LCM equation.

GCF(18468,18483) = 3
LCM(18468,18483) = ( 18468 × 18483) / 3
LCM(18468,18483) = 341344044 / 3
LCM(18468,18483) = 113781348

Least Common Multiple (LCM) of 18468 and 18483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18468 and 18483. First we will calculate the prime factors of 18468 and 18483.

Prime Factorization of 18468

Prime Factorization of 18483

Now multiplying the highest exponent prime factors to calculate the LCM of 18468 and 18483.

LCM(18468,18483) = 2² × 3⁵ × 19¹ × 61¹ × 101¹
LCM(18468,18483) = 113781348