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What is the Least Common Multiple of 95843 and 95863?

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 95863 is 9187797509.

LCM(95843,95863) = 9187797509

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Least Common Multiple of 95843 and 95863 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 95863, than apply into the LCM equation.

GCF(95843,95863) = 1
LCM(95843,95863) = ( 95843 × 95863) / 1
LCM(95843,95863) = 9187797509 / 1
LCM(95843,95863) = 9187797509

Least Common Multiple (LCM) of 95843 and 95863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95843 and 95863. First we will calculate the prime factors of 95843 and 95863.

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 95863

Prime factors of 95863 are 17, 5639. Prime factorization of 95863 in exponential form is:

95863 = 171 × 56391

Now multiplying the highest exponent prime factors to calculate the LCM of 95843 and 95863.

LCM(95843,95863) = 111 × 87131 × 171 × 56391
LCM(95843,95863) = 9187797509