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What is the Least Common Multiple of 91312 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 91312 and 91332 is 2084926896.

LCM(91312,91332) = 2084926896

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Least Common Multiple of 91312 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 91312 and 91332, than apply into the LCM equation.

GCF(91312,91332) = 4
LCM(91312,91332) = ( 91312 × 91332) / 4
LCM(91312,91332) = 8339707584 / 4
LCM(91312,91332) = 2084926896

Least Common Multiple (LCM) of 91312 and 91332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91312 and 91332. First we will calculate the prime factors of 91312 and 91332.

Prime Factorization of 91312

Prime factors of 91312 are 2, 13, 439. Prime factorization of 91312 in exponential form is:

91312 = 24 × 131 × 4391

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 91312 and 91332.

LCM(91312,91332) = 24 × 131 × 4391 × 32 × 431 × 591
LCM(91312,91332) = 2084926896