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What is the Least Common Multiple of 18345 and 18355?

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 18355 is 67344495.

LCM(18345,18355) = 67344495

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Least Common Multiple of 18345 and 18355 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 18355, than apply into the LCM equation.

GCF(18345,18355) = 5
LCM(18345,18355) = ( 18345 × 18355) / 5
LCM(18345,18355) = 336722475 / 5
LCM(18345,18355) = 67344495

Least Common Multiple (LCM) of 18345 and 18355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18345 and 18355. First we will calculate the prime factors of 18345 and 18355.

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 18355

Prime factors of 18355 are 5, 3671. Prime factorization of 18355 in exponential form is:

18355 = 51 × 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 18345 and 18355.

LCM(18345,18355) = 31 × 51 × 12231 × 36711
LCM(18345,18355) = 67344495