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What is the Least Common Multiple of 91856 and 91861?

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 91861 is 8437984016.

LCM(91856,91861) = 8437984016

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Least Common Multiple of 91856 and 91861 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 91861, than apply into the LCM equation.

GCF(91856,91861) = 1
LCM(91856,91861) = ( 91856 × 91861) / 1
LCM(91856,91861) = 8437984016 / 1
LCM(91856,91861) = 8437984016

Least Common Multiple (LCM) of 91856 and 91861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91856 and 91861. First we will calculate the prime factors of 91856 and 91861.

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 91861

Prime factors of 91861 are 7, 11, 1193. Prime factorization of 91861 in exponential form is:

91861 = 71 × 111 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 91856 and 91861.

LCM(91856,91861) = 24 × 57411 × 71 × 111 × 11931
LCM(91856,91861) = 8437984016