What is the Least Common Multiple of 18200 and 18214?

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 18200 and 18214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18200 and 18214, than apply into the LCM equation.

GCF(18200,18214) = 14
LCM(18200,18214) = ( 18200 × 18214) / 14
LCM(18200,18214) = 331494800 / 14
LCM(18200,18214) = 23678200

Least Common Multiple (LCM) of 18200 and 18214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18200 and 18214. First we will calculate the prime factors of 18200 and 18214.

Prime Factorization of 18200

Prime Factorization of 18214

Now multiplying the highest exponent prime factors to calculate the LCM of 18200 and 18214.

LCM(18200,18214) = 2³ × 5² × 7¹ × 13¹ × 1301¹
LCM(18200,18214) = 23678200