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What is the Least Common Multiple of 63628 and 63637?

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 63628 and 63637 is 4049095036.

LCM(63628,63637) = 4049095036

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Least Common Multiple of 63628 and 63637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63628 and 63637, than apply into the LCM equation.

GCF(63628,63637) = 1
LCM(63628,63637) = ( 63628 × 63637) / 1
LCM(63628,63637) = 4049095036 / 1
LCM(63628,63637) = 4049095036

Least Common Multiple (LCM) of 63628 and 63637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63628 and 63637. First we will calculate the prime factors of 63628 and 63637.

Prime Factorization of 63628

Prime factors of 63628 are 2, 15907. Prime factorization of 63628 in exponential form is:

63628 = 22 × 159071

Prime Factorization of 63637

Prime factors of 63637 are 7, 9091. Prime factorization of 63637 in exponential form is:

63637 = 71 × 90911

Now multiplying the highest exponent prime factors to calculate the LCM of 63628 and 63637.

LCM(63628,63637) = 22 × 159071 × 71 × 90911
LCM(63628,63637) = 4049095036