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What is the Least Common Multiple of 96869 and 96882?

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 96869 and 96882 is 9384862458.

LCM(96869,96882) = 9384862458

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Least Common Multiple of 96869 and 96882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96869 and 96882, than apply into the LCM equation.

GCF(96869,96882) = 1
LCM(96869,96882) = ( 96869 × 96882) / 1
LCM(96869,96882) = 9384862458 / 1
LCM(96869,96882) = 9384862458

Least Common Multiple (LCM) of 96869 and 96882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96869 and 96882. First we will calculate the prime factors of 96869 and 96882.

Prime Factorization of 96869

Prime factors of 96869 are 157, 617. Prime factorization of 96869 in exponential form is:

96869 = 1571 × 6171

Prime Factorization of 96882

Prime factors of 96882 are 2, 3, 67, 241. Prime factorization of 96882 in exponential form is:

96882 = 21 × 31 × 671 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 96869 and 96882.

LCM(96869,96882) = 1571 × 6171 × 21 × 31 × 671 × 2411
LCM(96869,96882) = 9384862458