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What is the Least Common Multiple of 95853 and 95866?

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 95853 and 95866 is 9189043698.

LCM(95853,95866) = 9189043698

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Least Common Multiple of 95853 and 95866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95853 and 95866, than apply into the LCM equation.

GCF(95853,95866) = 1
LCM(95853,95866) = ( 95853 × 95866) / 1
LCM(95853,95866) = 9189043698 / 1
LCM(95853,95866) = 9189043698

Least Common Multiple (LCM) of 95853 and 95866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95853 and 95866. First we will calculate the prime factors of 95853 and 95866.

Prime Factorization of 95853

Prime factors of 95853 are 3, 89, 359. Prime factorization of 95853 in exponential form is:

95853 = 31 × 891 × 3591

Prime Factorization of 95866

Prime factors of 95866 are 2, 47933. Prime factorization of 95866 in exponential form is:

95866 = 21 × 479331

Now multiplying the highest exponent prime factors to calculate the LCM of 95853 and 95866.

LCM(95853,95866) = 31 × 891 × 3591 × 21 × 479331
LCM(95853,95866) = 9189043698