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What is the Least Common Multiple of 91222 and 91227?

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 91222 and 91227 is 8321909394.

LCM(91222,91227) = 8321909394

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Least Common Multiple of 91222 and 91227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91222 and 91227, than apply into the LCM equation.

GCF(91222,91227) = 1
LCM(91222,91227) = ( 91222 × 91227) / 1
LCM(91222,91227) = 8321909394 / 1
LCM(91222,91227) = 8321909394

Least Common Multiple (LCM) of 91222 and 91227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91222 and 91227. First we will calculate the prime factors of 91222 and 91227.

Prime Factorization of 91222

Prime factors of 91222 are 2, 17, 2683. Prime factorization of 91222 in exponential form is:

91222 = 21 × 171 × 26831

Prime Factorization of 91227

Prime factors of 91227 are 3, 47, 647. Prime factorization of 91227 in exponential form is:

91227 = 31 × 471 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 91222 and 91227.

LCM(91222,91227) = 21 × 171 × 26831 × 31 × 471 × 6471
LCM(91222,91227) = 8321909394