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What is the Least Common Multiple of 92331 and 92340?

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 92331 and 92340 is 947316060.

LCM(92331,92340) = 947316060

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Least Common Multiple of 92331 and 92340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92331 and 92340, than apply into the LCM equation.

GCF(92331,92340) = 9
LCM(92331,92340) = ( 92331 × 92340) / 9
LCM(92331,92340) = 8525844540 / 9
LCM(92331,92340) = 947316060

Least Common Multiple (LCM) of 92331 and 92340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92331 and 92340. First we will calculate the prime factors of 92331 and 92340.

Prime Factorization of 92331

Prime factors of 92331 are 3, 10259. Prime factorization of 92331 in exponential form is:

92331 = 32 × 102591

Prime Factorization of 92340

Prime factors of 92340 are 2, 3, 5, 19. Prime factorization of 92340 in exponential form is:

92340 = 22 × 35 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 92331 and 92340.

LCM(92331,92340) = 35 × 102591 × 22 × 51 × 191
LCM(92331,92340) = 947316060