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What is the Least Common Multiple of 63389 and 63393?

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 63389 and 63393 is 4018418877.

LCM(63389,63393) = 4018418877

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Least Common Multiple of 63389 and 63393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63389 and 63393, than apply into the LCM equation.

GCF(63389,63393) = 1
LCM(63389,63393) = ( 63389 × 63393) / 1
LCM(63389,63393) = 4018418877 / 1
LCM(63389,63393) = 4018418877

Least Common Multiple (LCM) of 63389 and 63393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63389 and 63393. First we will calculate the prime factors of 63389 and 63393.

Prime Factorization of 63389

Prime factors of 63389 are 63389. Prime factorization of 63389 in exponential form is:

63389 = 633891

Prime Factorization of 63393

Prime factors of 63393 are 3, 11, 17, 113. Prime factorization of 63393 in exponential form is:

63393 = 31 × 111 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 63389 and 63393.

LCM(63389,63393) = 633891 × 31 × 111 × 171 × 1131
LCM(63389,63393) = 4018418877