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What is the Least Common Multiple of 92179 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 92179 and 92184 is 8497428936.

LCM(92179,92184) = 8497428936

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Least Common Multiple of 92179 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 92179 and 92184, than apply into the LCM equation.

GCF(92179,92184) = 1
LCM(92179,92184) = ( 92179 × 92184) / 1
LCM(92179,92184) = 8497428936 / 1
LCM(92179,92184) = 8497428936

Least Common Multiple (LCM) of 92179 and 92184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92179 and 92184. First we will calculate the prime factors of 92179 and 92184.

Prime Factorization of 92179

Prime factors of 92179 are 92179. Prime factorization of 92179 in exponential form is:

92179 = 921791

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 92179 and 92184.

LCM(92179,92184) = 921791 × 23 × 31 × 231 × 1671
LCM(92179,92184) = 8497428936