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What is the Least Common Multiple of 30755 and 30774?

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 30755 and 30774 is 946454370.

LCM(30755,30774) = 946454370

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Least Common Multiple of 30755 and 30774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30755 and 30774, than apply into the LCM equation.

GCF(30755,30774) = 1
LCM(30755,30774) = ( 30755 × 30774) / 1
LCM(30755,30774) = 946454370 / 1
LCM(30755,30774) = 946454370

Least Common Multiple (LCM) of 30755 and 30774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30755 and 30774. First we will calculate the prime factors of 30755 and 30774.

Prime Factorization of 30755

Prime factors of 30755 are 5, 6151. Prime factorization of 30755 in exponential form is:

30755 = 51 × 61511

Prime Factorization of 30774

Prime factors of 30774 are 2, 3, 23, 223. Prime factorization of 30774 in exponential form is:

30774 = 21 × 31 × 231 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 30755 and 30774.

LCM(30755,30774) = 51 × 61511 × 21 × 31 × 231 × 2231
LCM(30755,30774) = 946454370