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What is the Least Common Multiple of 91321 and 91332?

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 91321 and 91332 is 8340529572.

LCM(91321,91332) = 8340529572

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Least Common Multiple of 91321 and 91332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91321 and 91332, than apply into the LCM equation.

GCF(91321,91332) = 1
LCM(91321,91332) = ( 91321 × 91332) / 1
LCM(91321,91332) = 8340529572 / 1
LCM(91321,91332) = 8340529572

Least Common Multiple (LCM) of 91321 and 91332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91321 and 91332. First we will calculate the prime factors of 91321 and 91332.

Prime Factorization of 91321

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

91321 = 291 × 471 × 671

Prime Factorization of 91332

Prime factors of 91332 are 2, 3, 43, 59. Prime factorization of 91332 in exponential form is:

91332 = 22 × 32 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 91321 and 91332.

LCM(91321,91332) = 291 × 471 × 671 × 22 × 32 × 431 × 591
LCM(91321,91332) = 8340529572