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What is the Least Common Multiple of 92523 and 92537?

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 92523 and 92537 is 8561800851.

LCM(92523,92537) = 8561800851

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Least Common Multiple of 92523 and 92537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92523 and 92537, than apply into the LCM equation.

GCF(92523,92537) = 1
LCM(92523,92537) = ( 92523 × 92537) / 1
LCM(92523,92537) = 8561800851 / 1
LCM(92523,92537) = 8561800851

Least Common Multiple (LCM) of 92523 and 92537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92523 and 92537. First we will calculate the prime factors of 92523 and 92537.

Prime Factorization of 92523

Prime factors of 92523 are 3, 30841. Prime factorization of 92523 in exponential form is:

92523 = 31 × 308411

Prime Factorization of 92537

Prime factors of 92537 are 37, 41, 61. Prime factorization of 92537 in exponential form is:

92537 = 371 × 411 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 92523 and 92537.

LCM(92523,92537) = 31 × 308411 × 371 × 411 × 611
LCM(92523,92537) = 8561800851