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What is the Least Common Multiple of 18261 and 18280?

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 18261 and 18280 is 333811080.

LCM(18261,18280) = 333811080

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Least Common Multiple of 18261 and 18280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18261 and 18280, than apply into the LCM equation.

GCF(18261,18280) = 1
LCM(18261,18280) = ( 18261 × 18280) / 1
LCM(18261,18280) = 333811080 / 1
LCM(18261,18280) = 333811080

Least Common Multiple (LCM) of 18261 and 18280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18261 and 18280. First we will calculate the prime factors of 18261 and 18280.

Prime Factorization of 18261

Prime factors of 18261 are 3, 2029. Prime factorization of 18261 in exponential form is:

18261 = 32 × 20291

Prime Factorization of 18280

Prime factors of 18280 are 2, 5, 457. Prime factorization of 18280 in exponential form is:

18280 = 23 × 51 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 18261 and 18280.

LCM(18261,18280) = 32 × 20291 × 23 × 51 × 4571
LCM(18261,18280) = 333811080