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What is the Least Common Multiple of 92277 and 92284?

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 92277 and 92284 is 8515690668.

LCM(92277,92284) = 8515690668

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Least Common Multiple of 92277 and 92284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92277 and 92284, than apply into the LCM equation.

GCF(92277,92284) = 1
LCM(92277,92284) = ( 92277 × 92284) / 1
LCM(92277,92284) = 8515690668 / 1
LCM(92277,92284) = 8515690668

Least Common Multiple (LCM) of 92277 and 92284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92277 and 92284. First we will calculate the prime factors of 92277 and 92284.

Prime Factorization of 92277

Prime factors of 92277 are 3, 10253. Prime factorization of 92277 in exponential form is:

92277 = 32 × 102531

Prime Factorization of 92284

Prime factors of 92284 are 2, 23071. Prime factorization of 92284 in exponential form is:

92284 = 22 × 230711

Now multiplying the highest exponent prime factors to calculate the LCM of 92277 and 92284.

LCM(92277,92284) = 32 × 102531 × 22 × 230711
LCM(92277,92284) = 8515690668