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What is the Least Common Multiple of 63212 and 63227?

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 63212 and 63227 is 3996705124.

LCM(63212,63227) = 3996705124

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Least Common Multiple of 63212 and 63227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63212 and 63227, than apply into the LCM equation.

GCF(63212,63227) = 1
LCM(63212,63227) = ( 63212 × 63227) / 1
LCM(63212,63227) = 3996705124 / 1
LCM(63212,63227) = 3996705124

Least Common Multiple (LCM) of 63212 and 63227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63212 and 63227. First we will calculate the prime factors of 63212 and 63227.

Prime Factorization of 63212

Prime factors of 63212 are 2, 15803. Prime factorization of 63212 in exponential form is:

63212 = 22 × 158031

Prime Factorization of 63227

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

63227 = 231 × 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 63212 and 63227.

LCM(63212,63227) = 22 × 158031 × 231 × 27491
LCM(63212,63227) = 3996705124