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What is the Least Common Multiple of 63016 and 63031?

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 63016 and 63031 is 3971961496.

LCM(63016,63031) = 3971961496

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Least Common Multiple of 63016 and 63031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63016 and 63031, than apply into the LCM equation.

GCF(63016,63031) = 1
LCM(63016,63031) = ( 63016 × 63031) / 1
LCM(63016,63031) = 3971961496 / 1
LCM(63016,63031) = 3971961496

Least Common Multiple (LCM) of 63016 and 63031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63016 and 63031. First we will calculate the prime factors of 63016 and 63031.

Prime Factorization of 63016

Prime factors of 63016 are 2, 7877. Prime factorization of 63016 in exponential form is:

63016 = 23 × 78771

Prime Factorization of 63031

Prime factors of 63031 are 63031. Prime factorization of 63031 in exponential form is:

63031 = 630311

Now multiplying the highest exponent prime factors to calculate the LCM of 63016 and 63031.

LCM(63016,63031) = 23 × 78771 × 630311
LCM(63016,63031) = 3971961496