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What is the Least Common Multiple of 95815 and 95826?

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 95815 and 95826 is 9181568190.

LCM(95815,95826) = 9181568190

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Least Common Multiple of 95815 and 95826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95815 and 95826, than apply into the LCM equation.

GCF(95815,95826) = 1
LCM(95815,95826) = ( 95815 × 95826) / 1
LCM(95815,95826) = 9181568190 / 1
LCM(95815,95826) = 9181568190

Least Common Multiple (LCM) of 95815 and 95826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95815 and 95826. First we will calculate the prime factors of 95815 and 95826.

Prime Factorization of 95815

Prime factors of 95815 are 5, 19163. Prime factorization of 95815 in exponential form is:

95815 = 51 × 191631

Prime Factorization of 95826

Prime factors of 95826 are 2, 3, 15971. Prime factorization of 95826 in exponential form is:

95826 = 21 × 31 × 159711

Now multiplying the highest exponent prime factors to calculate the LCM of 95815 and 95826.

LCM(95815,95826) = 51 × 191631 × 21 × 31 × 159711
LCM(95815,95826) = 9181568190