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What is the Least Common Multiple of 18348 and 18357?

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 18348 and 18357 is 112271412.

LCM(18348,18357) = 112271412

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Least Common Multiple of 18348 and 18357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18348 and 18357, than apply into the LCM equation.

GCF(18348,18357) = 3
LCM(18348,18357) = ( 18348 × 18357) / 3
LCM(18348,18357) = 336814236 / 3
LCM(18348,18357) = 112271412

Least Common Multiple (LCM) of 18348 and 18357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18348 and 18357. First we will calculate the prime factors of 18348 and 18357.

Prime Factorization of 18348

Prime factors of 18348 are 2, 3, 11, 139. Prime factorization of 18348 in exponential form is:

18348 = 22 × 31 × 111 × 1391

Prime Factorization of 18357

Prime factors of 18357 are 3, 29, 211. Prime factorization of 18357 in exponential form is:

18357 = 31 × 291 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 18348 and 18357.

LCM(18348,18357) = 22 × 31 × 111 × 1391 × 291 × 2111
LCM(18348,18357) = 112271412