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What is the Least Common Multiple of 18237 and 18256?

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 18237 and 18256 is 332934672.

LCM(18237,18256) = 332934672

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Least Common Multiple of 18237 and 18256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18237 and 18256, than apply into the LCM equation.

GCF(18237,18256) = 1
LCM(18237,18256) = ( 18237 × 18256) / 1
LCM(18237,18256) = 332934672 / 1
LCM(18237,18256) = 332934672

Least Common Multiple (LCM) of 18237 and 18256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18237 and 18256. First we will calculate the prime factors of 18237 and 18256.

Prime Factorization of 18237

Prime factors of 18237 are 3, 6079. Prime factorization of 18237 in exponential form is:

18237 = 31 × 60791

Prime Factorization of 18256

Prime factors of 18256 are 2, 7, 163. Prime factorization of 18256 in exponential form is:

18256 = 24 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 18237 and 18256.

LCM(18237,18256) = 31 × 60791 × 24 × 71 × 1631
LCM(18237,18256) = 332934672