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What is the Least Common Multiple of 63806 and 63811?

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 63806 and 63811 is 4071524666.

LCM(63806,63811) = 4071524666

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Least Common Multiple of 63806 and 63811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63806 and 63811, than apply into the LCM equation.

GCF(63806,63811) = 1
LCM(63806,63811) = ( 63806 × 63811) / 1
LCM(63806,63811) = 4071524666 / 1
LCM(63806,63811) = 4071524666

Least Common Multiple (LCM) of 63806 and 63811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63806 and 63811. First we will calculate the prime factors of 63806 and 63811.

Prime Factorization of 63806

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

63806 = 21 × 611 × 5231

Prime Factorization of 63811

Prime factors of 63811 are 11, 5801. Prime factorization of 63811 in exponential form is:

63811 = 111 × 58011

Now multiplying the highest exponent prime factors to calculate the LCM of 63806 and 63811.

LCM(63806,63811) = 21 × 611 × 5231 × 111 × 58011
LCM(63806,63811) = 4071524666