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What is the Least Common Multiple of 9193 and 9205?

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 9193 and 9205 is 84621565.

LCM(9193,9205) = 84621565

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Least Common Multiple of 9193 and 9205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9193 and 9205, than apply into the LCM equation.

GCF(9193,9205) = 1
LCM(9193,9205) = ( 9193 × 9205) / 1
LCM(9193,9205) = 84621565 / 1
LCM(9193,9205) = 84621565

Least Common Multiple (LCM) of 9193 and 9205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9193 and 9205. First we will calculate the prime factors of 9193 and 9205.

Prime Factorization of 9193

Prime factors of 9193 are 29, 317. Prime factorization of 9193 in exponential form is:

9193 = 291 × 3171

Prime Factorization of 9205

Prime factors of 9205 are 5, 7, 263. Prime factorization of 9205 in exponential form is:

9205 = 51 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 9193 and 9205.

LCM(9193,9205) = 291 × 3171 × 51 × 71 × 2631
LCM(9193,9205) = 84621565