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What is the Least Common Multiple of 92345 and 92349?

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 92345 and 92349 is 8527968405.

LCM(92345,92349) = 8527968405

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Least Common Multiple of 92345 and 92349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92345 and 92349, than apply into the LCM equation.

GCF(92345,92349) = 1
LCM(92345,92349) = ( 92345 × 92349) / 1
LCM(92345,92349) = 8527968405 / 1
LCM(92345,92349) = 8527968405

Least Common Multiple (LCM) of 92345 and 92349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92345 and 92349. First we will calculate the prime factors of 92345 and 92349.

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

Prime Factorization of 92349

Prime factors of 92349 are 3, 31, 331. Prime factorization of 92349 in exponential form is:

92349 = 32 × 311 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 92345 and 92349.

LCM(92345,92349) = 51 × 111 × 231 × 731 × 32 × 311 × 3311
LCM(92345,92349) = 8527968405