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What is the Least Common Multiple of 91856 and 91871?

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 91856 and 91871 is 8438902576.

LCM(91856,91871) = 8438902576

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Least Common Multiple of 91856 and 91871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91856 and 91871, than apply into the LCM equation.

GCF(91856,91871) = 1
LCM(91856,91871) = ( 91856 × 91871) / 1
LCM(91856,91871) = 8438902576 / 1
LCM(91856,91871) = 8438902576

Least Common Multiple (LCM) of 91856 and 91871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91856 and 91871. First we will calculate the prime factors of 91856 and 91871.

Prime Factorization of 91856

Prime factors of 91856 are 2, 5741. Prime factorization of 91856 in exponential form is:

91856 = 24 × 57411

Prime Factorization of 91871

Prime factors of 91871 are 13, 37, 191. Prime factorization of 91871 in exponential form is:

91871 = 131 × 371 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 91856 and 91871.

LCM(91856,91871) = 24 × 57411 × 131 × 371 × 1911
LCM(91856,91871) = 8438902576