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What is the Least Common Multiple of 9198 and 9213?

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 9213 is 28247058.

LCM(9198,9213) = 28247058

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Least Common Multiple of 9198 and 9213 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 9213, than apply into the LCM equation.

GCF(9198,9213) = 3
LCM(9198,9213) = ( 9198 × 9213) / 3
LCM(9198,9213) = 84741174 / 3
LCM(9198,9213) = 28247058

Least Common Multiple (LCM) of 9198 and 9213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9198 and 9213. First we will calculate the prime factors of 9198 and 9213.

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 9213

Prime factors of 9213 are 3, 37, 83. Prime factorization of 9213 in exponential form is:

9213 = 31 × 371 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 9198 and 9213.

LCM(9198,9213) = 21 × 32 × 71 × 731 × 371 × 831
LCM(9198,9213) = 28247058