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What is the Least Common Multiple of 91222 and 91230?

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 91230 is 4161091530.

LCM(91222,91230) = 4161091530

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Least Common Multiple of 91222 and 91230 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 91230, than apply into the LCM equation.

GCF(91222,91230) = 2
LCM(91222,91230) = ( 91222 × 91230) / 2
LCM(91222,91230) = 8322183060 / 2
LCM(91222,91230) = 4161091530

Least Common Multiple (LCM) of 91222 and 91230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91222 and 91230. First we will calculate the prime factors of 91222 and 91230.

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 91230

Prime factors of 91230 are 2, 3, 5, 3041. Prime factorization of 91230 in exponential form is:

91230 = 21 × 31 × 51 × 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 91222 and 91230.

LCM(91222,91230) = 21 × 171 × 26831 × 31 × 51 × 30411
LCM(91222,91230) = 4161091530