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What is the Least Common Multiple of 63767 and 63786?

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 63767 and 63786 is 4067441862.

LCM(63767,63786) = 4067441862

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Least Common Multiple of 63767 and 63786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63767 and 63786, than apply into the LCM equation.

GCF(63767,63786) = 1
LCM(63767,63786) = ( 63767 × 63786) / 1
LCM(63767,63786) = 4067441862 / 1
LCM(63767,63786) = 4067441862

Least Common Multiple (LCM) of 63767 and 63786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63767 and 63786. First we will calculate the prime factors of 63767 and 63786.

Prime Factorization of 63767

Prime factors of 63767 are 11, 17, 31. Prime factorization of 63767 in exponential form is:

63767 = 112 × 171 × 311

Prime Factorization of 63786

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

63786 = 21 × 31 × 106311

Now multiplying the highest exponent prime factors to calculate the LCM of 63767 and 63786.

LCM(63767,63786) = 112 × 171 × 311 × 21 × 31 × 106311
LCM(63767,63786) = 4067441862