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What is the Least Common Multiple of 63775 and 63794?

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 63775 and 63794 is 4068462350.

LCM(63775,63794) = 4068462350

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Least Common Multiple of 63775 and 63794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63775 and 63794, than apply into the LCM equation.

GCF(63775,63794) = 1
LCM(63775,63794) = ( 63775 × 63794) / 1
LCM(63775,63794) = 4068462350 / 1
LCM(63775,63794) = 4068462350

Least Common Multiple (LCM) of 63775 and 63794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63775 and 63794. First we will calculate the prime factors of 63775 and 63794.

Prime Factorization of 63775

Prime factors of 63775 are 5, 2551. Prime factorization of 63775 in exponential form is:

63775 = 52 × 25511

Prime Factorization of 63794

Prime factors of 63794 are 2, 167, 191. Prime factorization of 63794 in exponential form is:

63794 = 21 × 1671 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 63775 and 63794.

LCM(63775,63794) = 52 × 25511 × 21 × 1671 × 1911
LCM(63775,63794) = 4068462350