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What is the Least Common Multiple of 91324 and 91328?

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 91324 and 91328 is 2085109568.

LCM(91324,91328) = 2085109568

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Least Common Multiple of 91324 and 91328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91324 and 91328, than apply into the LCM equation.

GCF(91324,91328) = 4
LCM(91324,91328) = ( 91324 × 91328) / 4
LCM(91324,91328) = 8340438272 / 4
LCM(91324,91328) = 2085109568

Least Common Multiple (LCM) of 91324 and 91328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91324 and 91328. First we will calculate the prime factors of 91324 and 91328.

Prime Factorization of 91324

Prime factors of 91324 are 2, 17, 79. Prime factorization of 91324 in exponential form is:

91324 = 22 × 172 × 791

Prime Factorization of 91328

Prime factors of 91328 are 2, 1427. Prime factorization of 91328 in exponential form is:

91328 = 26 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 91324 and 91328.

LCM(91324,91328) = 26 × 172 × 791 × 14271
LCM(91324,91328) = 2085109568