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What is the Least Common Multiple of 91209 and 91215?

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 91215 is 2773209645.

LCM(91209,91215) = 2773209645

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Least Common Multiple of 91209 and 91215 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 91215, than apply into the LCM equation.

GCF(91209,91215) = 3
LCM(91209,91215) = ( 91209 × 91215) / 3
LCM(91209,91215) = 8319628935 / 3
LCM(91209,91215) = 2773209645

Least Common Multiple (LCM) of 91209 and 91215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91215. First we will calculate the prime factors of 91209 and 91215.

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 91215

Prime factors of 91215 are 3, 5, 2027. Prime factorization of 91215 in exponential form is:

91215 = 32 × 51 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91215.

LCM(91209,91215) = 32 × 304031 × 51 × 20271
LCM(91209,91215) = 2773209645