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What is the Least Common Multiple of 63689 and 63699?

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 63689 and 63699 is 4056925611.

LCM(63689,63699) = 4056925611

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Least Common Multiple of 63689 and 63699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63689 and 63699, than apply into the LCM equation.

GCF(63689,63699) = 1
LCM(63689,63699) = ( 63689 × 63699) / 1
LCM(63689,63699) = 4056925611 / 1
LCM(63689,63699) = 4056925611

Least Common Multiple (LCM) of 63689 and 63699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63689 and 63699. First we will calculate the prime factors of 63689 and 63699.

Prime Factorization of 63689

Prime factors of 63689 are 63689. Prime factorization of 63689 in exponential form is:

63689 = 636891

Prime Factorization of 63699

Prime factors of 63699 are 3, 17, 1249. Prime factorization of 63699 in exponential form is:

63699 = 31 × 171 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 63689 and 63699.

LCM(63689,63699) = 636891 × 31 × 171 × 12491
LCM(63689,63699) = 4056925611