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What is the Least Common Multiple of 92836 and 92848?

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 92836 and 92848 is 2154909232.

LCM(92836,92848) = 2154909232

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Least Common Multiple of 92836 and 92848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92836 and 92848, than apply into the LCM equation.

GCF(92836,92848) = 4
LCM(92836,92848) = ( 92836 × 92848) / 4
LCM(92836,92848) = 8619636928 / 4
LCM(92836,92848) = 2154909232

Least Common Multiple (LCM) of 92836 and 92848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92836 and 92848. First we will calculate the prime factors of 92836 and 92848.

Prime Factorization of 92836

Prime factors of 92836 are 2, 23209. Prime factorization of 92836 in exponential form is:

92836 = 22 × 232091

Prime Factorization of 92848

Prime factors of 92848 are 2, 7, 829. Prime factorization of 92848 in exponential form is:

92848 = 24 × 71 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 92836 and 92848.

LCM(92836,92848) = 24 × 232091 × 71 × 8291
LCM(92836,92848) = 2154909232