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What is the Least Common Multiple of 63688 and 63697?

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 63688 and 63697 is 4056734536.

LCM(63688,63697) = 4056734536

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Least Common Multiple of 63688 and 63697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63688 and 63697, than apply into the LCM equation.

GCF(63688,63697) = 1
LCM(63688,63697) = ( 63688 × 63697) / 1
LCM(63688,63697) = 4056734536 / 1
LCM(63688,63697) = 4056734536

Least Common Multiple (LCM) of 63688 and 63697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63688 and 63697. First we will calculate the prime factors of 63688 and 63697.

Prime Factorization of 63688

Prime factors of 63688 are 2, 19, 419. Prime factorization of 63688 in exponential form is:

63688 = 23 × 191 × 4191

Prime Factorization of 63697

Prime factors of 63697 are 63697. Prime factorization of 63697 in exponential form is:

63697 = 636971

Now multiplying the highest exponent prime factors to calculate the LCM of 63688 and 63697.

LCM(63688,63697) = 23 × 191 × 4191 × 636971
LCM(63688,63697) = 4056734536