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What is the Least Common Multiple of 92133 and 92138?

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 92133 and 92138 is 8488950354.

LCM(92133,92138) = 8488950354

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Least Common Multiple of 92133 and 92138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92133 and 92138, than apply into the LCM equation.

GCF(92133,92138) = 1
LCM(92133,92138) = ( 92133 × 92138) / 1
LCM(92133,92138) = 8488950354 / 1
LCM(92133,92138) = 8488950354

Least Common Multiple (LCM) of 92133 and 92138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92133 and 92138. First we will calculate the prime factors of 92133 and 92138.

Prime Factorization of 92133

Prime factors of 92133 are 3, 29, 353. Prime factorization of 92133 in exponential form is:

92133 = 32 × 291 × 3531

Prime Factorization of 92138

Prime factors of 92138 are 2, 23, 2003. Prime factorization of 92138 in exponential form is:

92138 = 21 × 231 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 92133 and 92138.

LCM(92133,92138) = 32 × 291 × 3531 × 21 × 231 × 20031
LCM(92133,92138) = 8488950354