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What is the Least Common Multiple of 96847 and 96855?

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 96847 and 96855 is 9380116185.

LCM(96847,96855) = 9380116185

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Least Common Multiple of 96847 and 96855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96847 and 96855, than apply into the LCM equation.

GCF(96847,96855) = 1
LCM(96847,96855) = ( 96847 × 96855) / 1
LCM(96847,96855) = 9380116185 / 1
LCM(96847,96855) = 9380116185

Least Common Multiple (LCM) of 96847 and 96855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96847 and 96855. First we will calculate the prime factors of 96847 and 96855.

Prime Factorization of 96847

Prime factors of 96847 are 96847. Prime factorization of 96847 in exponential form is:

96847 = 968471

Prime Factorization of 96855

Prime factors of 96855 are 3, 5, 11, 587. Prime factorization of 96855 in exponential form is:

96855 = 31 × 51 × 111 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 96847 and 96855.

LCM(96847,96855) = 968471 × 31 × 51 × 111 × 5871
LCM(96847,96855) = 9380116185