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What is the Least Common Multiple of 92441 and 92449?

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 92441 and 92449 is 8546078009.

LCM(92441,92449) = 8546078009

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Least Common Multiple of 92441 and 92449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92441 and 92449, than apply into the LCM equation.

GCF(92441,92449) = 1
LCM(92441,92449) = ( 92441 × 92449) / 1
LCM(92441,92449) = 8546078009 / 1
LCM(92441,92449) = 8546078009

Least Common Multiple (LCM) of 92441 and 92449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92441 and 92449. First we will calculate the prime factors of 92441 and 92449.

Prime Factorization of 92441

Prime factors of 92441 are 97, 953. Prime factorization of 92441 in exponential form is:

92441 = 971 × 9531

Prime Factorization of 92449

Prime factors of 92449 are 7, 47, 281. Prime factorization of 92449 in exponential form is:

92449 = 71 × 471 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 92441 and 92449.

LCM(92441,92449) = 971 × 9531 × 71 × 471 × 2811
LCM(92441,92449) = 8546078009