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What is the Least Common Multiple of 9205 and 9223?

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 9205 and 9223 is 84897715.

LCM(9205,9223) = 84897715

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Least Common Multiple of 9205 and 9223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9205 and 9223, than apply into the LCM equation.

GCF(9205,9223) = 1
LCM(9205,9223) = ( 9205 × 9223) / 1
LCM(9205,9223) = 84897715 / 1
LCM(9205,9223) = 84897715

Least Common Multiple (LCM) of 9205 and 9223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9205 and 9223. First we will calculate the prime factors of 9205 and 9223.

Prime Factorization of 9205

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

9205 = 51 × 71 × 2631

Prime Factorization of 9223

Prime factors of 9223 are 23, 401. Prime factorization of 9223 in exponential form is:

9223 = 231 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 9205 and 9223.

LCM(9205,9223) = 51 × 71 × 2631 × 231 × 4011
LCM(9205,9223) = 84897715