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What is the Least Common Multiple of 9176 and 9189?

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 9176 and 9189 is 84318264.

LCM(9176,9189) = 84318264

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Least Common Multiple of 9176 and 9189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9176 and 9189, than apply into the LCM equation.

GCF(9176,9189) = 1
LCM(9176,9189) = ( 9176 × 9189) / 1
LCM(9176,9189) = 84318264 / 1
LCM(9176,9189) = 84318264

Least Common Multiple (LCM) of 9176 and 9189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9176 and 9189. First we will calculate the prime factors of 9176 and 9189.

Prime Factorization of 9176

Prime factors of 9176 are 2, 31, 37. Prime factorization of 9176 in exponential form is:

9176 = 23 × 311 × 371

Prime Factorization of 9189

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

9189 = 32 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 9176 and 9189.

LCM(9176,9189) = 23 × 311 × 371 × 32 × 10211
LCM(9176,9189) = 84318264