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What is the Least Common Multiple of 92337 and 92349?

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 92337 and 92349 is 2842409871.

LCM(92337,92349) = 2842409871

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Least Common Multiple of 92337 and 92349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92337 and 92349, than apply into the LCM equation.

GCF(92337,92349) = 3
LCM(92337,92349) = ( 92337 × 92349) / 3
LCM(92337,92349) = 8527229613 / 3
LCM(92337,92349) = 2842409871

Least Common Multiple (LCM) of 92337 and 92349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92337 and 92349. First we will calculate the prime factors of 92337 and 92349.

Prime Factorization of 92337

Prime factors of 92337 are 3, 7, 4397. Prime factorization of 92337 in exponential form is:

92337 = 31 × 71 × 43971

Prime Factorization of 92349

Prime factors of 92349 are 3, 31, 331. Prime factorization of 92349 in exponential form is:

92349 = 32 × 311 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 92337 and 92349.

LCM(92337,92349) = 32 × 71 × 43971 × 311 × 3311
LCM(92337,92349) = 2842409871