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What is the Least Common Multiple of 18638 and 18651?

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 18638 and 18651 is 347617338.

LCM(18638,18651) = 347617338

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Least Common Multiple of 18638 and 18651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18638 and 18651, than apply into the LCM equation.

GCF(18638,18651) = 1
LCM(18638,18651) = ( 18638 × 18651) / 1
LCM(18638,18651) = 347617338 / 1
LCM(18638,18651) = 347617338

Least Common Multiple (LCM) of 18638 and 18651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18638 and 18651. First we will calculate the prime factors of 18638 and 18651.

Prime Factorization of 18638

Prime factors of 18638 are 2, 9319. Prime factorization of 18638 in exponential form is:

18638 = 21 × 93191

Prime Factorization of 18651

Prime factors of 18651 are 3, 6217. Prime factorization of 18651 in exponential form is:

18651 = 31 × 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 18638 and 18651.

LCM(18638,18651) = 21 × 93191 × 31 × 62171
LCM(18638,18651) = 347617338