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What is the Least Common Multiple of 30788 and 30806?

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 30788 and 30806 is 474227564.

LCM(30788,30806) = 474227564

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Least Common Multiple of 30788 and 30806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30788 and 30806, than apply into the LCM equation.

GCF(30788,30806) = 2
LCM(30788,30806) = ( 30788 × 30806) / 2
LCM(30788,30806) = 948455128 / 2
LCM(30788,30806) = 474227564

Least Common Multiple (LCM) of 30788 and 30806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30788 and 30806. First we will calculate the prime factors of 30788 and 30806.

Prime Factorization of 30788

Prime factors of 30788 are 2, 43, 179. Prime factorization of 30788 in exponential form is:

30788 = 22 × 431 × 1791

Prime Factorization of 30806

Prime factors of 30806 are 2, 73, 211. Prime factorization of 30806 in exponential form is:

30806 = 21 × 731 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 30788 and 30806.

LCM(30788,30806) = 22 × 431 × 1791 × 731 × 2111
LCM(30788,30806) = 474227564