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What is the Least Common Multiple of 63785 and 63803?

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 63785 and 63803 is 4069674355.

LCM(63785,63803) = 4069674355

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Least Common Multiple of 63785 and 63803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63785 and 63803, than apply into the LCM equation.

GCF(63785,63803) = 1
LCM(63785,63803) = ( 63785 × 63803) / 1
LCM(63785,63803) = 4069674355 / 1
LCM(63785,63803) = 4069674355

Least Common Multiple (LCM) of 63785 and 63803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63785 and 63803. First we will calculate the prime factors of 63785 and 63803.

Prime Factorization of 63785

Prime factors of 63785 are 5, 12757. Prime factorization of 63785 in exponential form is:

63785 = 51 × 127571

Prime Factorization of 63803

Prime factors of 63803 are 63803. Prime factorization of 63803 in exponential form is:

63803 = 638031

Now multiplying the highest exponent prime factors to calculate the LCM of 63785 and 63803.

LCM(63785,63803) = 51 × 127571 × 638031
LCM(63785,63803) = 4069674355