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What is the Least Common Multiple of 63793 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 63793 and 63811 is 4070695123.

LCM(63793,63811) = 4070695123

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Least Common Multiple of 63793 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 63793 and 63811, than apply into the LCM equation.

GCF(63793,63811) = 1
LCM(63793,63811) = ( 63793 × 63811) / 1
LCM(63793,63811) = 4070695123 / 1
LCM(63793,63811) = 4070695123

Least Common Multiple (LCM) of 63793 and 63811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63793 and 63811. First we will calculate the prime factors of 63793 and 63811.

Prime Factorization of 63793

Prime factors of 63793 are 63793. Prime factorization of 63793 in exponential form is:

63793 = 637931

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 63793 and 63811.

LCM(63793,63811) = 637931 × 111 × 58011
LCM(63793,63811) = 4070695123