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What is the Least Common Multiple of 30267 and 30281?

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 30267 and 30281 is 916515027.

LCM(30267,30281) = 916515027

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Least Common Multiple of 30267 and 30281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30267 and 30281, than apply into the LCM equation.

GCF(30267,30281) = 1
LCM(30267,30281) = ( 30267 × 30281) / 1
LCM(30267,30281) = 916515027 / 1
LCM(30267,30281) = 916515027

Least Common Multiple (LCM) of 30267 and 30281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30267 and 30281. First we will calculate the prime factors of 30267 and 30281.

Prime Factorization of 30267

Prime factors of 30267 are 3, 19, 59. Prime factorization of 30267 in exponential form is:

30267 = 33 × 191 × 591

Prime Factorization of 30281

Prime factors of 30281 are 107, 283. Prime factorization of 30281 in exponential form is:

30281 = 1071 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 30267 and 30281.

LCM(30267,30281) = 33 × 191 × 591 × 1071 × 2831
LCM(30267,30281) = 916515027