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What is the Least Common Multiple of 63631 and 63651?

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 63631 and 63651 is 4050176781.

LCM(63631,63651) = 4050176781

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Least Common Multiple of 63631 and 63651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63631 and 63651, than apply into the LCM equation.

GCF(63631,63651) = 1
LCM(63631,63651) = ( 63631 × 63651) / 1
LCM(63631,63651) = 4050176781 / 1
LCM(63631,63651) = 4050176781

Least Common Multiple (LCM) of 63631 and 63651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63631 and 63651. First we will calculate the prime factors of 63631 and 63651.

Prime Factorization of 63631

Prime factors of 63631 are 17, 19, 197. Prime factorization of 63631 in exponential form is:

63631 = 171 × 191 × 1971

Prime Factorization of 63651

Prime factors of 63651 are 3, 7, 433. Prime factorization of 63651 in exponential form is:

63651 = 31 × 72 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 63631 and 63651.

LCM(63631,63651) = 171 × 191 × 1971 × 31 × 72 × 4331
LCM(63631,63651) = 4050176781