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What is the Least Common Multiple of 18267 and 18278?

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 18267 and 18278 is 333884226.

LCM(18267,18278) = 333884226

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Least Common Multiple of 18267 and 18278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18267 and 18278, than apply into the LCM equation.

GCF(18267,18278) = 1
LCM(18267,18278) = ( 18267 × 18278) / 1
LCM(18267,18278) = 333884226 / 1
LCM(18267,18278) = 333884226

Least Common Multiple (LCM) of 18267 and 18278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18267 and 18278. First we will calculate the prime factors of 18267 and 18278.

Prime Factorization of 18267

Prime factors of 18267 are 3, 6089. Prime factorization of 18267 in exponential form is:

18267 = 31 × 60891

Prime Factorization of 18278

Prime factors of 18278 are 2, 13, 19, 37. Prime factorization of 18278 in exponential form is:

18278 = 21 × 131 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 18267 and 18278.

LCM(18267,18278) = 31 × 60891 × 21 × 131 × 191 × 371
LCM(18267,18278) = 333884226