What is the Least Common Multiple of 18345 and 18354?

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 18354 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 18354, than apply into the LCM equation.

GCF(18345,18354) = 3
LCM(18345,18354) = ( 18345 × 18354) / 3
LCM(18345,18354) = 336704130 / 3
LCM(18345,18354) = 112234710

Least Common Multiple (LCM) of 18345 and 18354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18345 and 18354. First we will calculate the prime factors of 18345 and 18354.

Prime Factorization of 18345

Prime Factorization of 18354

Now multiplying the highest exponent prime factors to calculate the LCM of 18345 and 18354.

LCM(18345,18354) = 3¹ × 5¹ × 1223¹ × 2¹ × 7¹ × 19¹ × 23¹
LCM(18345,18354) = 112234710