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What is the Least Common Multiple of 96899 and 96906?

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 96899 and 96906 is 9390094494.

LCM(96899,96906) = 9390094494

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Least Common Multiple of 96899 and 96906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96899 and 96906, than apply into the LCM equation.

GCF(96899,96906) = 1
LCM(96899,96906) = ( 96899 × 96906) / 1
LCM(96899,96906) = 9390094494 / 1
LCM(96899,96906) = 9390094494

Least Common Multiple (LCM) of 96899 and 96906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96899 and 96906. First we will calculate the prime factors of 96899 and 96906.

Prime Factorization of 96899

Prime factors of 96899 are 11, 23, 383. Prime factorization of 96899 in exponential form is:

96899 = 111 × 231 × 3831

Prime Factorization of 96906

Prime factors of 96906 are 2, 3, 31, 521. Prime factorization of 96906 in exponential form is:

96906 = 21 × 31 × 311 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 96899 and 96906.

LCM(96899,96906) = 111 × 231 × 3831 × 21 × 31 × 311 × 5211
LCM(96899,96906) = 9390094494