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What is the Least Common Multiple of 9162 and 9175?

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 9162 and 9175 is 84061350.

LCM(9162,9175) = 84061350

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Least Common Multiple of 9162 and 9175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9162 and 9175, than apply into the LCM equation.

GCF(9162,9175) = 1
LCM(9162,9175) = ( 9162 × 9175) / 1
LCM(9162,9175) = 84061350 / 1
LCM(9162,9175) = 84061350

Least Common Multiple (LCM) of 9162 and 9175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9162 and 9175. First we will calculate the prime factors of 9162 and 9175.

Prime Factorization of 9162

Prime factors of 9162 are 2, 3, 509. Prime factorization of 9162 in exponential form is:

9162 = 21 × 32 × 5091

Prime Factorization of 9175

Prime factors of 9175 are 5, 367. Prime factorization of 9175 in exponential form is:

9175 = 52 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9162 and 9175.

LCM(9162,9175) = 21 × 32 × 5091 × 52 × 3671
LCM(9162,9175) = 84061350