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What is the Least Common Multiple of 92493 and 92498?

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 92498 is 8555417514.

LCM(92493,92498) = 8555417514

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Least Common Multiple of 92493 and 92498 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 92498, than apply into the LCM equation.

GCF(92493,92498) = 1
LCM(92493,92498) = ( 92493 × 92498) / 1
LCM(92493,92498) = 8555417514 / 1
LCM(92493,92498) = 8555417514

Least Common Multiple (LCM) of 92493 and 92498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92493 and 92498. First we will calculate the prime factors of 92493 and 92498.

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 92498

Prime factors of 92498 are 2, 7, 6607. Prime factorization of 92498 in exponential form is:

92498 = 21 × 71 × 66071

Now multiplying the highest exponent prime factors to calculate the LCM of 92493 and 92498.

LCM(92493,92498) = 32 × 431 × 2391 × 21 × 71 × 66071
LCM(92493,92498) = 8555417514