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What is the Least Common Multiple of 91209 and 91226?

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 91209 and 91226 is 8320632234.

LCM(91209,91226) = 8320632234

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Least Common Multiple of 91209 and 91226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91209 and 91226, than apply into the LCM equation.

GCF(91209,91226) = 1
LCM(91209,91226) = ( 91209 × 91226) / 1
LCM(91209,91226) = 8320632234 / 1
LCM(91209,91226) = 8320632234

Least Common Multiple (LCM) of 91209 and 91226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91226. First we will calculate the prime factors of 91209 and 91226.

Prime Factorization of 91209

Prime factors of 91209 are 3, 30403. Prime factorization of 91209 in exponential form is:

91209 = 31 × 304031

Prime Factorization of 91226

Prime factors of 91226 are 2, 45613. Prime factorization of 91226 in exponential form is:

91226 = 21 × 456131

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91226.

LCM(91209,91226) = 31 × 304031 × 21 × 456131
LCM(91209,91226) = 8320632234