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What is the Least Common Multiple of 91310 and 91321?

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 91321 is 8338520510.

LCM(91310,91321) = 8338520510

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Least Common Multiple of 91310 and 91321 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 91321, than apply into the LCM equation.

GCF(91310,91321) = 1
LCM(91310,91321) = ( 91310 × 91321) / 1
LCM(91310,91321) = 8338520510 / 1
LCM(91310,91321) = 8338520510

Least Common Multiple (LCM) of 91310 and 91321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91310 and 91321. First we will calculate the prime factors of 91310 and 91321.

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 91321

Prime factors of 91321 are 29, 47, 67. Prime factorization of 91321 in exponential form is:

91321 = 291 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 91310 and 91321.

LCM(91310,91321) = 21 × 51 × 231 × 3971 × 291 × 471 × 671
LCM(91310,91321) = 8338520510