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What is the Least Common Multiple of 95843 and 95851?

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 95843 and 95851 is 9186647393.

LCM(95843,95851) = 9186647393

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Least Common Multiple of 95843 and 95851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95843 and 95851, than apply into the LCM equation.

GCF(95843,95851) = 1
LCM(95843,95851) = ( 95843 × 95851) / 1
LCM(95843,95851) = 9186647393 / 1
LCM(95843,95851) = 9186647393

Least Common Multiple (LCM) of 95843 and 95851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95843 and 95851. First we will calculate the prime factors of 95843 and 95851.

Prime Factorization of 95843

Prime factors of 95843 are 11, 8713. Prime factorization of 95843 in exponential form is:

95843 = 111 × 87131

Prime Factorization of 95851

Prime factors of 95851 are 7, 13693. Prime factorization of 95851 in exponential form is:

95851 = 71 × 136931

Now multiplying the highest exponent prime factors to calculate the LCM of 95843 and 95851.

LCM(95843,95851) = 111 × 87131 × 71 × 136931
LCM(95843,95851) = 9186647393