What is the Least Common Multiple of 18380 and 18385?

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 18380 and 18385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18380 and 18385, than apply into the LCM equation.

GCF(18380,18385) = 5
LCM(18380,18385) = ( 18380 × 18385) / 5
LCM(18380,18385) = 337916300 / 5
LCM(18380,18385) = 67583260

Least Common Multiple (LCM) of 18380 and 18385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18380 and 18385. First we will calculate the prime factors of 18380 and 18385.

Prime Factorization of 18380

Prime Factorization of 18385

Now multiplying the highest exponent prime factors to calculate the LCM of 18380 and 18385.

LCM(18380,18385) = 2² × 5¹ × 919¹ × 3677¹
LCM(18380,18385) = 67583260