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What is the Least Common Multiple of 63704 and 63711?

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 63704 and 63711 is 4058645544.

LCM(63704,63711) = 4058645544

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Least Common Multiple of 63704 and 63711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63704 and 63711, than apply into the LCM equation.

GCF(63704,63711) = 1
LCM(63704,63711) = ( 63704 × 63711) / 1
LCM(63704,63711) = 4058645544 / 1
LCM(63704,63711) = 4058645544

Least Common Multiple (LCM) of 63704 and 63711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63704 and 63711. First we will calculate the prime factors of 63704 and 63711.

Prime Factorization of 63704

Prime factors of 63704 are 2, 7963. Prime factorization of 63704 in exponential form is:

63704 = 23 × 79631

Prime Factorization of 63711

Prime factors of 63711 are 3, 7079. Prime factorization of 63711 in exponential form is:

63711 = 32 × 70791

Now multiplying the highest exponent prime factors to calculate the LCM of 63704 and 63711.

LCM(63704,63711) = 23 × 79631 × 32 × 70791
LCM(63704,63711) = 4058645544