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What is the Least Common Multiple of 18268 and 18286?

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 18268 and 18286 is 167024324.

LCM(18268,18286) = 167024324

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Least Common Multiple of 18268 and 18286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18268 and 18286, than apply into the LCM equation.

GCF(18268,18286) = 2
LCM(18268,18286) = ( 18268 × 18286) / 2
LCM(18268,18286) = 334048648 / 2
LCM(18268,18286) = 167024324

Least Common Multiple (LCM) of 18268 and 18286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18268 and 18286. First we will calculate the prime factors of 18268 and 18286.

Prime Factorization of 18268

Prime factors of 18268 are 2, 4567. Prime factorization of 18268 in exponential form is:

18268 = 22 × 45671

Prime Factorization of 18286

Prime factors of 18286 are 2, 41, 223. Prime factorization of 18286 in exponential form is:

18286 = 21 × 411 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 18268 and 18286.

LCM(18268,18286) = 22 × 45671 × 411 × 2231
LCM(18268,18286) = 167024324