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What is the Least Common Multiple of 92265 and 92281?

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 92265 and 92281 is 8514306465.

LCM(92265,92281) = 8514306465

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Least Common Multiple of 92265 and 92281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92265 and 92281, than apply into the LCM equation.

GCF(92265,92281) = 1
LCM(92265,92281) = ( 92265 × 92281) / 1
LCM(92265,92281) = 8514306465 / 1
LCM(92265,92281) = 8514306465

Least Common Multiple (LCM) of 92265 and 92281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92265 and 92281. First we will calculate the prime factors of 92265 and 92281.

Prime Factorization of 92265

Prime factors of 92265 are 3, 5, 6151. Prime factorization of 92265 in exponential form is:

92265 = 31 × 51 × 61511

Prime Factorization of 92281

Prime factors of 92281 are 7, 13183. Prime factorization of 92281 in exponential form is:

92281 = 71 × 131831

Now multiplying the highest exponent prime factors to calculate the LCM of 92265 and 92281.

LCM(92265,92281) = 31 × 51 × 61511 × 71 × 131831
LCM(92265,92281) = 8514306465