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What is the Least Common Multiple of 92093 and 92106?

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 92093 and 92106 is 8482317858.

LCM(92093,92106) = 8482317858

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Least Common Multiple of 92093 and 92106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92093 and 92106, than apply into the LCM equation.

GCF(92093,92106) = 1
LCM(92093,92106) = ( 92093 × 92106) / 1
LCM(92093,92106) = 8482317858 / 1
LCM(92093,92106) = 8482317858

Least Common Multiple (LCM) of 92093 and 92106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92093 and 92106. First we will calculate the prime factors of 92093 and 92106.

Prime Factorization of 92093

Prime factors of 92093 are 19, 37, 131. Prime factorization of 92093 in exponential form is:

92093 = 191 × 371 × 1311

Prime Factorization of 92106

Prime factors of 92106 are 2, 3, 7, 17, 43. Prime factorization of 92106 in exponential form is:

92106 = 21 × 32 × 71 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 92093 and 92106.

LCM(92093,92106) = 191 × 371 × 1311 × 21 × 32 × 71 × 171 × 431
LCM(92093,92106) = 8482317858