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What is the Least Common Multiple of 63637 and 63657?

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 63637 and 63657 is 4050940509.

LCM(63637,63657) = 4050940509

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Least Common Multiple of 63637 and 63657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63637 and 63657, than apply into the LCM equation.

GCF(63637,63657) = 1
LCM(63637,63657) = ( 63637 × 63657) / 1
LCM(63637,63657) = 4050940509 / 1
LCM(63637,63657) = 4050940509

Least Common Multiple (LCM) of 63637 and 63657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63637 and 63657. First we will calculate the prime factors of 63637 and 63657.

Prime Factorization of 63637

Prime factors of 63637 are 7, 9091. Prime factorization of 63637 in exponential form is:

63637 = 71 × 90911

Prime Factorization of 63657

Prime factors of 63657 are 3, 11, 643. Prime factorization of 63657 in exponential form is:

63657 = 32 × 111 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 63637 and 63657.

LCM(63637,63657) = 71 × 90911 × 32 × 111 × 6431
LCM(63637,63657) = 4050940509