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What is the Least Common Multiple of 81218 and 81227?

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 81218 and 81227 is 6597094486.

LCM(81218,81227) = 6597094486

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Least Common Multiple of 81218 and 81227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81218 and 81227, than apply into the LCM equation.

GCF(81218,81227) = 1
LCM(81218,81227) = ( 81218 × 81227) / 1
LCM(81218,81227) = 6597094486 / 1
LCM(81218,81227) = 6597094486

Least Common Multiple (LCM) of 81218 and 81227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81218 and 81227. First we will calculate the prime factors of 81218 and 81227.

Prime Factorization of 81218

Prime factors of 81218 are 2, 40609. Prime factorization of 81218 in exponential form is:

81218 = 21 × 406091

Prime Factorization of 81227

Prime factors of 81227 are 43, 1889. Prime factorization of 81227 in exponential form is:

81227 = 431 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 81218 and 81227.

LCM(81218,81227) = 21 × 406091 × 431 × 18891
LCM(81218,81227) = 6597094486