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What is the Least Common Multiple of 63796 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 63796 and 63806 is 2035283788.

LCM(63796,63806) = 2035283788

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Least Common Multiple of 63796 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 63796 and 63806, than apply into the LCM equation.

GCF(63796,63806) = 2
LCM(63796,63806) = ( 63796 × 63806) / 2
LCM(63796,63806) = 4070567576 / 2
LCM(63796,63806) = 2035283788

Least Common Multiple (LCM) of 63796 and 63806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63796 and 63806. First we will calculate the prime factors of 63796 and 63806.

Prime Factorization of 63796

Prime factors of 63796 are 2, 41, 389. Prime factorization of 63796 in exponential form is:

63796 = 22 × 411 × 3891

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 63796 and 63806.

LCM(63796,63806) = 22 × 411 × 3891 × 611 × 5231
LCM(63796,63806) = 2035283788