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What is the Least Common Multiple of 63227 and 63235?

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 63227 and 63235 is 3998159345.

LCM(63227,63235) = 3998159345

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Least Common Multiple of 63227 and 63235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63227 and 63235, than apply into the LCM equation.

GCF(63227,63235) = 1
LCM(63227,63235) = ( 63227 × 63235) / 1
LCM(63227,63235) = 3998159345 / 1
LCM(63227,63235) = 3998159345

Least Common Multiple (LCM) of 63227 and 63235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63227 and 63235. First we will calculate the prime factors of 63227 and 63235.

Prime Factorization of 63227

Prime factors of 63227 are 23, 2749. Prime factorization of 63227 in exponential form is:

63227 = 231 × 27491

Prime Factorization of 63235

Prime factors of 63235 are 5, 12647. Prime factorization of 63235 in exponential form is:

63235 = 51 × 126471

Now multiplying the highest exponent prime factors to calculate the LCM of 63227 and 63235.

LCM(63227,63235) = 231 × 27491 × 51 × 126471
LCM(63227,63235) = 3998159345