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What is the Least Common Multiple of 63703 and 63713?

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 63703 and 63713 is 4058709239.

LCM(63703,63713) = 4058709239

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Least Common Multiple of 63703 and 63713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63703 and 63713, than apply into the LCM equation.

GCF(63703,63713) = 1
LCM(63703,63713) = ( 63703 × 63713) / 1
LCM(63703,63713) = 4058709239 / 1
LCM(63703,63713) = 4058709239

Least Common Multiple (LCM) of 63703 and 63713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63703 and 63713. First we will calculate the prime factors of 63703 and 63713.

Prime Factorization of 63703

Prime factors of 63703 are 63703. Prime factorization of 63703 in exponential form is:

63703 = 637031

Prime Factorization of 63713

Prime factors of 63713 are 13, 29. Prime factorization of 63713 in exponential form is:

63713 = 133 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 63703 and 63713.

LCM(63703,63713) = 637031 × 133 × 291
LCM(63703,63713) = 4058709239