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What is the Least Common Multiple of 95834 and 95854?

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 95834 and 95854 is 4593036118.

LCM(95834,95854) = 4593036118

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Least Common Multiple of 95834 and 95854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95834 and 95854, than apply into the LCM equation.

GCF(95834,95854) = 2
LCM(95834,95854) = ( 95834 × 95854) / 2
LCM(95834,95854) = 9186072236 / 2
LCM(95834,95854) = 4593036118

Least Common Multiple (LCM) of 95834 and 95854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95834 and 95854. First we will calculate the prime factors of 95834 and 95854.

Prime Factorization of 95834

Prime factors of 95834 are 2, 47917. Prime factorization of 95834 in exponential form is:

95834 = 21 × 479171

Prime Factorization of 95854

Prime factors of 95854 are 2, 11, 4357. Prime factorization of 95854 in exponential form is:

95854 = 21 × 111 × 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 95834 and 95854.

LCM(95834,95854) = 21 × 479171 × 111 × 43571
LCM(95834,95854) = 4593036118