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What is the Least Common Multiple of 9198 and 9217?

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 9198 and 9217 is 84777966.

LCM(9198,9217) = 84777966

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Least Common Multiple of 9198 and 9217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9198 and 9217, than apply into the LCM equation.

GCF(9198,9217) = 1
LCM(9198,9217) = ( 9198 × 9217) / 1
LCM(9198,9217) = 84777966 / 1
LCM(9198,9217) = 84777966

Least Common Multiple (LCM) of 9198 and 9217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9198 and 9217. First we will calculate the prime factors of 9198 and 9217.

Prime Factorization of 9198

Prime factors of 9198 are 2, 3, 7, 73. Prime factorization of 9198 in exponential form is:

9198 = 21 × 32 × 71 × 731

Prime Factorization of 9217

Prime factors of 9217 are 13, 709. Prime factorization of 9217 in exponential form is:

9217 = 131 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 9198 and 9217.

LCM(9198,9217) = 21 × 32 × 71 × 731 × 131 × 7091
LCM(9198,9217) = 84777966