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What is the Least Common Multiple of 63786 and 63806?

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 63786 and 63806 is 2034964758.

LCM(63786,63806) = 2034964758

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Least Common Multiple of 63786 and 63806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63786 and 63806, than apply into the LCM equation.

GCF(63786,63806) = 2
LCM(63786,63806) = ( 63786 × 63806) / 2
LCM(63786,63806) = 4069929516 / 2
LCM(63786,63806) = 2034964758

Least Common Multiple (LCM) of 63786 and 63806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63786 and 63806. First we will calculate the prime factors of 63786 and 63806.

Prime Factorization of 63786

Prime factors of 63786 are 2, 3, 10631. Prime factorization of 63786 in exponential form is:

63786 = 21 × 31 × 106311

Prime Factorization of 63806

Prime factors of 63806 are 2, 61, 523. Prime factorization of 63806 in exponential form is:

63806 = 21 × 611 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 63786 and 63806.

LCM(63786,63806) = 21 × 31 × 106311 × 611 × 5231
LCM(63786,63806) = 2034964758