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What is the Least Common Multiple of 92346 and 92358?

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 92346 and 92358 is 1421481978.

LCM(92346,92358) = 1421481978

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Least Common Multiple of 92346 and 92358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92346 and 92358, than apply into the LCM equation.

GCF(92346,92358) = 6
LCM(92346,92358) = ( 92346 × 92358) / 6
LCM(92346,92358) = 8528891868 / 6
LCM(92346,92358) = 1421481978

Least Common Multiple (LCM) of 92346 and 92358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92346 and 92358. First we will calculate the prime factors of 92346 and 92358.

Prime Factorization of 92346

Prime factors of 92346 are 2, 3, 15391. Prime factorization of 92346 in exponential form is:

92346 = 21 × 31 × 153911

Prime Factorization of 92358

Prime factors of 92358 are 2, 3, 7, 733. Prime factorization of 92358 in exponential form is:

92358 = 21 × 32 × 71 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 92346 and 92358.

LCM(92346,92358) = 21 × 32 × 153911 × 71 × 7331
LCM(92346,92358) = 1421481978