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What is the Least Common Multiple of 63356 and 63363?

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 63356 and 63363 is 4014426228.

LCM(63356,63363) = 4014426228

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Least Common Multiple of 63356 and 63363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63356 and 63363, than apply into the LCM equation.

GCF(63356,63363) = 1
LCM(63356,63363) = ( 63356 × 63363) / 1
LCM(63356,63363) = 4014426228 / 1
LCM(63356,63363) = 4014426228

Least Common Multiple (LCM) of 63356 and 63363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63356 and 63363. First we will calculate the prime factors of 63356 and 63363.

Prime Factorization of 63356

Prime factors of 63356 are 2, 47, 337. Prime factorization of 63356 in exponential form is:

63356 = 22 × 471 × 3371

Prime Factorization of 63363

Prime factors of 63363 are 3, 21121. Prime factorization of 63363 in exponential form is:

63363 = 31 × 211211

Now multiplying the highest exponent prime factors to calculate the LCM of 63356 and 63363.

LCM(63356,63363) = 22 × 471 × 3371 × 31 × 211211
LCM(63356,63363) = 4014426228