What is the Least Common Multiple of 18345 and 18358?

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 18345 and 18358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18345 and 18358, than apply into the LCM equation.

GCF(18345,18358) = 1
LCM(18345,18358) = ( 18345 × 18358) / 1
LCM(18345,18358) = 336777510 / 1
LCM(18345,18358) = 336777510

Least Common Multiple (LCM) of 18345 and 18358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18345 and 18358. First we will calculate the prime factors of 18345 and 18358.

Prime Factorization of 18345

Prime Factorization of 18358

Now multiplying the highest exponent prime factors to calculate the LCM of 18345 and 18358.

LCM(18345,18358) = 3¹ × 5¹ × 1223¹ × 2¹ × 67¹ × 137¹
LCM(18345,18358) = 336777510