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What is the Least Common Multiple of 9263 and 9279?

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 9263 and 9279 is 85951377.

LCM(9263,9279) = 85951377

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Least Common Multiple of 9263 and 9279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9263 and 9279, than apply into the LCM equation.

GCF(9263,9279) = 1
LCM(9263,9279) = ( 9263 × 9279) / 1
LCM(9263,9279) = 85951377 / 1
LCM(9263,9279) = 85951377

Least Common Multiple (LCM) of 9263 and 9279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9263 and 9279. First we will calculate the prime factors of 9263 and 9279.

Prime Factorization of 9263

Prime factors of 9263 are 59, 157. Prime factorization of 9263 in exponential form is:

9263 = 591 × 1571

Prime Factorization of 9279

Prime factors of 9279 are 3, 1031. Prime factorization of 9279 in exponential form is:

9279 = 32 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 9263 and 9279.

LCM(9263,9279) = 591 × 1571 × 32 × 10311
LCM(9263,9279) = 85951377