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What is the Least Common Multiple of 91310 and 91327?

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 91310 and 91327 is 8339068370.

LCM(91310,91327) = 8339068370

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Least Common Multiple of 91310 and 91327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91310 and 91327, than apply into the LCM equation.

GCF(91310,91327) = 1
LCM(91310,91327) = ( 91310 × 91327) / 1
LCM(91310,91327) = 8339068370 / 1
LCM(91310,91327) = 8339068370

Least Common Multiple (LCM) of 91310 and 91327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91310 and 91327. First we will calculate the prime factors of 91310 and 91327.

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

Prime Factorization of 91327

Prime factors of 91327 are 271, 337. Prime factorization of 91327 in exponential form is:

91327 = 2711 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 91310 and 91327.

LCM(91310,91327) = 21 × 51 × 231 × 3971 × 2711 × 3371
LCM(91310,91327) = 8339068370