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What is the Least Common Multiple of 91389 and 91394?

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 91389 and 91394 is 8352406266.

LCM(91389,91394) = 8352406266

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Least Common Multiple of 91389 and 91394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91389 and 91394, than apply into the LCM equation.

GCF(91389,91394) = 1
LCM(91389,91394) = ( 91389 × 91394) / 1
LCM(91389,91394) = 8352406266 / 1
LCM(91389,91394) = 8352406266

Least Common Multiple (LCM) of 91389 and 91394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91389 and 91394. First we will calculate the prime factors of 91389 and 91394.

Prime Factorization of 91389

Prime factors of 91389 are 3, 41, 743. Prime factorization of 91389 in exponential form is:

91389 = 31 × 411 × 7431

Prime Factorization of 91394

Prime factors of 91394 are 2, 45697. Prime factorization of 91394 in exponential form is:

91394 = 21 × 456971

Now multiplying the highest exponent prime factors to calculate the LCM of 91389 and 91394.

LCM(91389,91394) = 31 × 411 × 7431 × 21 × 456971
LCM(91389,91394) = 8352406266