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What is the Least Common Multiple of 92493 and 92497?

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 92493 and 92497 is 8555325021.

LCM(92493,92497) = 8555325021

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Least Common Multiple of 92493 and 92497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92493 and 92497, than apply into the LCM equation.

GCF(92493,92497) = 1
LCM(92493,92497) = ( 92493 × 92497) / 1
LCM(92493,92497) = 8555325021 / 1
LCM(92493,92497) = 8555325021

Least Common Multiple (LCM) of 92493 and 92497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92493 and 92497. First we will calculate the prime factors of 92493 and 92497.

Prime Factorization of 92493

Prime factors of 92493 are 3, 43, 239. Prime factorization of 92493 in exponential form is:

92493 = 32 × 431 × 2391

Prime Factorization of 92497

Prime factors of 92497 are 17, 5441. Prime factorization of 92497 in exponential form is:

92497 = 171 × 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 92493 and 92497.

LCM(92493,92497) = 32 × 431 × 2391 × 171 × 54411
LCM(92493,92497) = 8555325021