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What is the Least Common Multiple of 96868 and 96881?

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 96868 and 96881 is 9384668708.

LCM(96868,96881) = 9384668708

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Least Common Multiple of 96868 and 96881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96868 and 96881, than apply into the LCM equation.

GCF(96868,96881) = 1
LCM(96868,96881) = ( 96868 × 96881) / 1
LCM(96868,96881) = 9384668708 / 1
LCM(96868,96881) = 9384668708

Least Common Multiple (LCM) of 96868 and 96881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96868 and 96881. First we will calculate the prime factors of 96868 and 96881.

Prime Factorization of 96868

Prime factors of 96868 are 2, 61, 397. Prime factorization of 96868 in exponential form is:

96868 = 22 × 611 × 3971

Prime Factorization of 96881

Prime factors of 96881 are 19, 5099. Prime factorization of 96881 in exponential form is:

96881 = 191 × 50991

Now multiplying the highest exponent prime factors to calculate the LCM of 96868 and 96881.

LCM(96868,96881) = 22 × 611 × 3971 × 191 × 50991
LCM(96868,96881) = 9384668708