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What is the Least Common Multiple of 91293 and 91310?

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 91293 and 91310 is 8335963830.

LCM(91293,91310) = 8335963830

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Least Common Multiple of 91293 and 91310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91293 and 91310, than apply into the LCM equation.

GCF(91293,91310) = 1
LCM(91293,91310) = ( 91293 × 91310) / 1
LCM(91293,91310) = 8335963830 / 1
LCM(91293,91310) = 8335963830

Least Common Multiple (LCM) of 91293 and 91310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91293 and 91310. First we will calculate the prime factors of 91293 and 91310.

Prime Factorization of 91293

Prime factors of 91293 are 3, 30431. Prime factorization of 91293 in exponential form is:

91293 = 31 × 304311

Prime Factorization of 91310

Prime factors of 91310 are 2, 5, 23, 397. Prime factorization of 91310 in exponential form is:

91310 = 21 × 51 × 231 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 91293 and 91310.

LCM(91293,91310) = 31 × 304311 × 21 × 51 × 231 × 3971
LCM(91293,91310) = 8335963830