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What is the Least Common Multiple of 18255 and 18270?

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 18255 and 18270 is 22234590.

LCM(18255,18270) = 22234590

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Least Common Multiple of 18255 and 18270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18255 and 18270, than apply into the LCM equation.

GCF(18255,18270) = 15
LCM(18255,18270) = ( 18255 × 18270) / 15
LCM(18255,18270) = 333518850 / 15
LCM(18255,18270) = 22234590

Least Common Multiple (LCM) of 18255 and 18270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18255 and 18270. First we will calculate the prime factors of 18255 and 18270.

Prime Factorization of 18255

Prime factors of 18255 are 3, 5, 1217. Prime factorization of 18255 in exponential form is:

18255 = 31 × 51 × 12171

Prime Factorization of 18270

Prime factors of 18270 are 2, 3, 5, 7, 29. Prime factorization of 18270 in exponential form is:

18270 = 21 × 32 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 18255 and 18270.

LCM(18255,18270) = 32 × 51 × 12171 × 21 × 71 × 291
LCM(18255,18270) = 22234590