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What is the Least Common Multiple of 92509 and 92523?

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 92509 and 92523 is 8559210207.

LCM(92509,92523) = 8559210207

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Least Common Multiple of 92509 and 92523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92509 and 92523, than apply into the LCM equation.

GCF(92509,92523) = 1
LCM(92509,92523) = ( 92509 × 92523) / 1
LCM(92509,92523) = 8559210207 / 1
LCM(92509,92523) = 8559210207

Least Common Multiple (LCM) of 92509 and 92523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92509 and 92523. First we will calculate the prime factors of 92509 and 92523.

Prime Factorization of 92509

Prime factors of 92509 are 79, 1171. Prime factorization of 92509 in exponential form is:

92509 = 791 × 11711

Prime Factorization of 92523

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

92523 = 31 × 308411

Now multiplying the highest exponent prime factors to calculate the LCM of 92509 and 92523.

LCM(92509,92523) = 791 × 11711 × 31 × 308411
LCM(92509,92523) = 8559210207