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What is the Least Common Multiple of 63556 and 63563?

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 63556 and 63563 is 4039810028.

LCM(63556,63563) = 4039810028

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Least Common Multiple of 63556 and 63563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63556 and 63563, than apply into the LCM equation.

GCF(63556,63563) = 1
LCM(63556,63563) = ( 63556 × 63563) / 1
LCM(63556,63563) = 4039810028 / 1
LCM(63556,63563) = 4039810028

Least Common Multiple (LCM) of 63556 and 63563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63556 and 63563. First we will calculate the prime factors of 63556 and 63563.

Prime Factorization of 63556

Prime factors of 63556 are 2, 15889. Prime factorization of 63556 in exponential form is:

63556 = 22 × 158891

Prime Factorization of 63563

Prime factors of 63563 are 17, 3739. Prime factorization of 63563 in exponential form is:

63563 = 171 × 37391

Now multiplying the highest exponent prime factors to calculate the LCM of 63556 and 63563.

LCM(63556,63563) = 22 × 158891 × 171 × 37391
LCM(63556,63563) = 4039810028