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What is the Least Common Multiple of 92321 and 92326?

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 92321 and 92326 is 8523628646.

LCM(92321,92326) = 8523628646

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Least Common Multiple of 92321 and 92326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92321 and 92326, than apply into the LCM equation.

GCF(92321,92326) = 1
LCM(92321,92326) = ( 92321 × 92326) / 1
LCM(92321,92326) = 8523628646 / 1
LCM(92321,92326) = 8523628646

Least Common Multiple (LCM) of 92321 and 92326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92321 and 92326. First we will calculate the prime factors of 92321 and 92326.

Prime Factorization of 92321

Prime factors of 92321 are 19, 43, 113. Prime factorization of 92321 in exponential form is:

92321 = 191 × 431 × 1131

Prime Factorization of 92326

Prime factors of 92326 are 2, 13, 53, 67. Prime factorization of 92326 in exponential form is:

92326 = 21 × 131 × 531 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 92321 and 92326.

LCM(92321,92326) = 191 × 431 × 1131 × 21 × 131 × 531 × 671
LCM(92321,92326) = 8523628646