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What is the Least Common Multiple of 92177 and 92184?

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 92177 and 92184 is 8497244568.

LCM(92177,92184) = 8497244568

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Least Common Multiple of 92177 and 92184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92177 and 92184, than apply into the LCM equation.

GCF(92177,92184) = 1
LCM(92177,92184) = ( 92177 × 92184) / 1
LCM(92177,92184) = 8497244568 / 1
LCM(92177,92184) = 8497244568

Least Common Multiple (LCM) of 92177 and 92184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92177 and 92184. First we will calculate the prime factors of 92177 and 92184.

Prime Factorization of 92177

Prime factors of 92177 are 92177. Prime factorization of 92177 in exponential form is:

92177 = 921771

Prime Factorization of 92184

Prime factors of 92184 are 2, 3, 23, 167. Prime factorization of 92184 in exponential form is:

92184 = 23 × 31 × 231 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 92177 and 92184.

LCM(92177,92184) = 921771 × 23 × 31 × 231 × 1671
LCM(92177,92184) = 8497244568