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What is the Least Common Multiple of 63217 and 63226?

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 63217 and 63226 is 3996958042.

LCM(63217,63226) = 3996958042

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Least Common Multiple of 63217 and 63226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63217 and 63226, than apply into the LCM equation.

GCF(63217,63226) = 1
LCM(63217,63226) = ( 63217 × 63226) / 1
LCM(63217,63226) = 3996958042 / 1
LCM(63217,63226) = 3996958042

Least Common Multiple (LCM) of 63217 and 63226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63217 and 63226. First we will calculate the prime factors of 63217 and 63226.

Prime Factorization of 63217

Prime factors of 63217 are 7, 11, 821. Prime factorization of 63217 in exponential form is:

63217 = 71 × 111 × 8211

Prime Factorization of 63226

Prime factors of 63226 are 2, 101, 313. Prime factorization of 63226 in exponential form is:

63226 = 21 × 1011 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 63217 and 63226.

LCM(63217,63226) = 71 × 111 × 8211 × 21 × 1011 × 3131
LCM(63217,63226) = 3996958042