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What is the Least Common Multiple of 18103 and 18113?

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 18103 and 18113 is 327899639.

LCM(18103,18113) = 327899639

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Least Common Multiple of 18103 and 18113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18103 and 18113, than apply into the LCM equation.

GCF(18103,18113) = 1
LCM(18103,18113) = ( 18103 × 18113) / 1
LCM(18103,18113) = 327899639 / 1
LCM(18103,18113) = 327899639

Least Common Multiple (LCM) of 18103 and 18113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18103 and 18113. First we will calculate the prime factors of 18103 and 18113.

Prime Factorization of 18103

Prime factors of 18103 are 43, 421. Prime factorization of 18103 in exponential form is:

18103 = 431 × 4211

Prime Factorization of 18113

Prime factors of 18113 are 59, 307. Prime factorization of 18113 in exponential form is:

18113 = 591 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 18103 and 18113.

LCM(18103,18113) = 431 × 4211 × 591 × 3071
LCM(18103,18113) = 327899639