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What is the Least Common Multiple of 9189 and 9203?

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 9189 and 9203 is 84566367.

LCM(9189,9203) = 84566367

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Least Common Multiple of 9189 and 9203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9189 and 9203, than apply into the LCM equation.

GCF(9189,9203) = 1
LCM(9189,9203) = ( 9189 × 9203) / 1
LCM(9189,9203) = 84566367 / 1
LCM(9189,9203) = 84566367

Least Common Multiple (LCM) of 9189 and 9203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9189 and 9203. First we will calculate the prime factors of 9189 and 9203.

Prime Factorization of 9189

Prime factors of 9189 are 3, 1021. Prime factorization of 9189 in exponential form is:

9189 = 32 × 10211

Prime Factorization of 9203

Prime factors of 9203 are 9203. Prime factorization of 9203 in exponential form is:

9203 = 92031

Now multiplying the highest exponent prime factors to calculate the LCM of 9189 and 9203.

LCM(9189,9203) = 32 × 10211 × 92031
LCM(9189,9203) = 84566367