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What is the Least Common Multiple of 30775 and 30786?

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 30775 and 30786 is 947439150.

LCM(30775,30786) = 947439150

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Least Common Multiple of 30775 and 30786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30775 and 30786, than apply into the LCM equation.

GCF(30775,30786) = 1
LCM(30775,30786) = ( 30775 × 30786) / 1
LCM(30775,30786) = 947439150 / 1
LCM(30775,30786) = 947439150

Least Common Multiple (LCM) of 30775 and 30786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30775 and 30786. First we will calculate the prime factors of 30775 and 30786.

Prime Factorization of 30775

Prime factors of 30775 are 5, 1231. Prime factorization of 30775 in exponential form is:

30775 = 52 × 12311

Prime Factorization of 30786

Prime factors of 30786 are 2, 3, 7, 733. Prime factorization of 30786 in exponential form is:

30786 = 21 × 31 × 71 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 30775 and 30786.

LCM(30775,30786) = 52 × 12311 × 21 × 31 × 71 × 7331
LCM(30775,30786) = 947439150