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What is the Least Common Multiple of 92333 and 92345?

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 92333 and 92345 is 8526490885.

LCM(92333,92345) = 8526490885

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Least Common Multiple of 92333 and 92345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92333 and 92345, than apply into the LCM equation.

GCF(92333,92345) = 1
LCM(92333,92345) = ( 92333 × 92345) / 1
LCM(92333,92345) = 8526490885 / 1
LCM(92333,92345) = 8526490885

Least Common Multiple (LCM) of 92333 and 92345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92333 and 92345. First we will calculate the prime factors of 92333 and 92345.

Prime Factorization of 92333

Prime factors of 92333 are 92333. Prime factorization of 92333 in exponential form is:

92333 = 923331

Prime Factorization of 92345

Prime factors of 92345 are 5, 11, 23, 73. Prime factorization of 92345 in exponential form is:

92345 = 51 × 111 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 92333 and 92345.

LCM(92333,92345) = 923331 × 51 × 111 × 231 × 731
LCM(92333,92345) = 8526490885