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What is the Least Common Multiple of 30747 and 30755?

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 30747 and 30755 is 945623985.

LCM(30747,30755) = 945623985

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Least Common Multiple of 30747 and 30755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30747 and 30755, than apply into the LCM equation.

GCF(30747,30755) = 1
LCM(30747,30755) = ( 30747 × 30755) / 1
LCM(30747,30755) = 945623985 / 1
LCM(30747,30755) = 945623985

Least Common Multiple (LCM) of 30747 and 30755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30747 and 30755. First we will calculate the prime factors of 30747 and 30755.

Prime Factorization of 30747

Prime factors of 30747 are 3, 37, 277. Prime factorization of 30747 in exponential form is:

30747 = 31 × 371 × 2771

Prime Factorization of 30755

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

30755 = 51 × 61511

Now multiplying the highest exponent prime factors to calculate the LCM of 30747 and 30755.

LCM(30747,30755) = 31 × 371 × 2771 × 51 × 61511
LCM(30747,30755) = 945623985