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What is the Least Common Multiple of 9177 and 9185?

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 9177 and 9185 is 84290745.

LCM(9177,9185) = 84290745

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Least Common Multiple of 9177 and 9185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9177 and 9185, than apply into the LCM equation.

GCF(9177,9185) = 1
LCM(9177,9185) = ( 9177 × 9185) / 1
LCM(9177,9185) = 84290745 / 1
LCM(9177,9185) = 84290745

Least Common Multiple (LCM) of 9177 and 9185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9177 and 9185. First we will calculate the prime factors of 9177 and 9185.

Prime Factorization of 9177

Prime factors of 9177 are 3, 7, 19, 23. Prime factorization of 9177 in exponential form is:

9177 = 31 × 71 × 191 × 231

Prime Factorization of 9185

Prime factors of 9185 are 5, 11, 167. Prime factorization of 9185 in exponential form is:

9185 = 51 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9177 and 9185.

LCM(9177,9185) = 31 × 71 × 191 × 231 × 51 × 111 × 1671
LCM(9177,9185) = 84290745