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What is the Least Common Multiple of 9155 and 9163?

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 9155 and 9163 is 83887265.

LCM(9155,9163) = 83887265

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Least Common Multiple of 9155 and 9163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9155 and 9163, than apply into the LCM equation.

GCF(9155,9163) = 1
LCM(9155,9163) = ( 9155 × 9163) / 1
LCM(9155,9163) = 83887265 / 1
LCM(9155,9163) = 83887265

Least Common Multiple (LCM) of 9155 and 9163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9155 and 9163. First we will calculate the prime factors of 9155 and 9163.

Prime Factorization of 9155

Prime factors of 9155 are 5, 1831. Prime factorization of 9155 in exponential form is:

9155 = 51 × 18311

Prime Factorization of 9163

Prime factors of 9163 are 7, 11, 17. Prime factorization of 9163 in exponential form is:

9163 = 72 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 9155 and 9163.

LCM(9155,9163) = 51 × 18311 × 72 × 111 × 171
LCM(9155,9163) = 83887265