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What is the Least Common Multiple of 96867 and 96886?

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 96867 and 96886 is 9385056162.

LCM(96867,96886) = 9385056162

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Least Common Multiple of 96867 and 96886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96867 and 96886, than apply into the LCM equation.

GCF(96867,96886) = 1
LCM(96867,96886) = ( 96867 × 96886) / 1
LCM(96867,96886) = 9385056162 / 1
LCM(96867,96886) = 9385056162

Least Common Multiple (LCM) of 96867 and 96886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96867 and 96886. First we will calculate the prime factors of 96867 and 96886.

Prime Factorization of 96867

Prime factors of 96867 are 3, 47, 229. Prime factorization of 96867 in exponential form is:

96867 = 32 × 471 × 2291

Prime Factorization of 96886

Prime factors of 96886 are 2, 193, 251. Prime factorization of 96886 in exponential form is:

96886 = 21 × 1931 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 96867 and 96886.

LCM(96867,96886) = 32 × 471 × 2291 × 21 × 1931 × 2511
LCM(96867,96886) = 9385056162