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What is the Least Common Multiple of 95817 and 95837?

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 95817 and 95837 is 9182813829.

LCM(95817,95837) = 9182813829

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Least Common Multiple of 95817 and 95837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95817 and 95837, than apply into the LCM equation.

GCF(95817,95837) = 1
LCM(95817,95837) = ( 95817 × 95837) / 1
LCM(95817,95837) = 9182813829 / 1
LCM(95817,95837) = 9182813829

Least Common Multiple (LCM) of 95817 and 95837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95817 and 95837. First we will calculate the prime factors of 95817 and 95837.

Prime Factorization of 95817

Prime factors of 95817 are 3, 19, 41. Prime factorization of 95817 in exponential form is:

95817 = 31 × 191 × 412

Prime Factorization of 95837

Prime factors of 95837 are 7, 13691. Prime factorization of 95837 in exponential form is:

95837 = 71 × 136911

Now multiplying the highest exponent prime factors to calculate the LCM of 95817 and 95837.

LCM(95817,95837) = 31 × 191 × 412 × 71 × 136911
LCM(95817,95837) = 9182813829