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What is the Least Common Multiple of 9176 and 9194?

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 9194 is 42182072.

LCM(9176,9194) = 42182072

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Least Common Multiple of 9176 and 9194 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 9194, than apply into the LCM equation.

GCF(9176,9194) = 2
LCM(9176,9194) = ( 9176 × 9194) / 2
LCM(9176,9194) = 84364144 / 2
LCM(9176,9194) = 42182072

Least Common Multiple (LCM) of 9176 and 9194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9176 and 9194. First we will calculate the prime factors of 9176 and 9194.

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 9194

Prime factors of 9194 are 2, 4597. Prime factorization of 9194 in exponential form is:

9194 = 21 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 9176 and 9194.

LCM(9176,9194) = 23 × 311 × 371 × 45971
LCM(9176,9194) = 42182072