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What is the Least Common Multiple of 63903 and 63911?

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 63903 and 63911 is 4084104633.

LCM(63903,63911) = 4084104633

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Least Common Multiple of 63903 and 63911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63903 and 63911, than apply into the LCM equation.

GCF(63903,63911) = 1
LCM(63903,63911) = ( 63903 × 63911) / 1
LCM(63903,63911) = 4084104633 / 1
LCM(63903,63911) = 4084104633

Least Common Multiple (LCM) of 63903 and 63911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63903 and 63911. First we will calculate the prime factors of 63903 and 63911.

Prime Factorization of 63903

Prime factors of 63903 are 3, 7, 17, 179. Prime factorization of 63903 in exponential form is:

63903 = 31 × 71 × 171 × 1791

Prime Factorization of 63911

Prime factors of 63911 are 79, 809. Prime factorization of 63911 in exponential form is:

63911 = 791 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 63903 and 63911.

LCM(63903,63911) = 31 × 71 × 171 × 1791 × 791 × 8091
LCM(63903,63911) = 4084104633