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What is the Least Common Multiple of 18345 and 18362?

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 18345 and 18362 is 336850890.

LCM(18345,18362) = 336850890

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Least Common Multiple of 18345 and 18362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18345 and 18362, than apply into the LCM equation.

GCF(18345,18362) = 1
LCM(18345,18362) = ( 18345 × 18362) / 1
LCM(18345,18362) = 336850890 / 1
LCM(18345,18362) = 336850890

Least Common Multiple (LCM) of 18345 and 18362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18345 and 18362. First we will calculate the prime factors of 18345 and 18362.

Prime Factorization of 18345

Prime factors of 18345 are 3, 5, 1223. Prime factorization of 18345 in exponential form is:

18345 = 31 × 51 × 12231

Prime Factorization of 18362

Prime factors of 18362 are 2, 9181. Prime factorization of 18362 in exponential form is:

18362 = 21 × 91811

Now multiplying the highest exponent prime factors to calculate the LCM of 18345 and 18362.

LCM(18345,18362) = 31 × 51 × 12231 × 21 × 91811
LCM(18345,18362) = 336850890