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What is the Least Common Multiple of 18343 and 18352?

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 18343 and 18352 is 336630736.

LCM(18343,18352) = 336630736

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Least Common Multiple of 18343 and 18352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18343 and 18352, than apply into the LCM equation.

GCF(18343,18352) = 1
LCM(18343,18352) = ( 18343 × 18352) / 1
LCM(18343,18352) = 336630736 / 1
LCM(18343,18352) = 336630736

Least Common Multiple (LCM) of 18343 and 18352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18343 and 18352. First we will calculate the prime factors of 18343 and 18352.

Prime Factorization of 18343

Prime factors of 18343 are 13, 17, 83. Prime factorization of 18343 in exponential form is:

18343 = 131 × 171 × 831

Prime Factorization of 18352

Prime factors of 18352 are 2, 31, 37. Prime factorization of 18352 in exponential form is:

18352 = 24 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 18343 and 18352.

LCM(18343,18352) = 131 × 171 × 831 × 24 × 311 × 371
LCM(18343,18352) = 336630736