What is the Least Common Multiple of 18239 and 18246?

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 18239 and 18246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18239 and 18246, than apply into the LCM equation.

GCF(18239,18246) = 1
LCM(18239,18246) = ( 18239 × 18246) / 1
LCM(18239,18246) = 332788794 / 1
LCM(18239,18246) = 332788794

Least Common Multiple (LCM) of 18239 and 18246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18239 and 18246. First we will calculate the prime factors of 18239 and 18246.

Prime Factorization of 18239

Prime Factorization of 18246

Now multiplying the highest exponent prime factors to calculate the LCM of 18239 and 18246.

LCM(18239,18246) = 13¹ × 23¹ × 61¹ × 2¹ × 3¹ × 3041¹
LCM(18239,18246) = 332788794