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What is the Least Common Multiple of 63207 and 63221?

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 63207 and 63221 is 3996009747.

LCM(63207,63221) = 3996009747

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Least Common Multiple of 63207 and 63221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63207 and 63221, than apply into the LCM equation.

GCF(63207,63221) = 1
LCM(63207,63221) = ( 63207 × 63221) / 1
LCM(63207,63221) = 3996009747 / 1
LCM(63207,63221) = 3996009747

Least Common Multiple (LCM) of 63207 and 63221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63207 and 63221. First we will calculate the prime factors of 63207 and 63221.

Prime Factorization of 63207

Prime factors of 63207 are 3, 2341. Prime factorization of 63207 in exponential form is:

63207 = 33 × 23411

Prime Factorization of 63221

Prime factors of 63221 are 191, 331. Prime factorization of 63221 in exponential form is:

63221 = 1911 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 63207 and 63221.

LCM(63207,63221) = 33 × 23411 × 1911 × 3311
LCM(63207,63221) = 3996009747