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What is the Least Common Multiple of 18200 and 18215?

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 (LCM) of 18200 and 18215 is 66302600.

LCM(18200,18215) = 66302600

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Least Common Multiple of 18200 and 18215 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 18215, than apply into the LCM equation.

GCF(18200,18215) = 5
LCM(18200,18215) = ( 18200 × 18215) / 5
LCM(18200,18215) = 331513000 / 5
LCM(18200,18215) = 66302600

Least Common Multiple (LCM) of 18200 and 18215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18200 and 18215. First we will calculate the prime factors of 18200 and 18215.

Prime Factorization of 18200

Prime factors of 18200 are 2, 5, 7, 13. Prime factorization of 18200 in exponential form is:

18200 = 23 × 52 × 71 × 131

Prime Factorization of 18215

Prime factors of 18215 are 5, 3643. Prime factorization of 18215 in exponential form is:

18215 = 51 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 18200 and 18215.

LCM(18200,18215) = 23 × 52 × 71 × 131 × 36431
LCM(18200,18215) = 66302600