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What is the Least Common Multiple of 94834 and 94849?

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 94834 and 94849 is 8994910066.

LCM(94834,94849) = 8994910066

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Least Common Multiple of 94834 and 94849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94834 and 94849, than apply into the LCM equation.

GCF(94834,94849) = 1
LCM(94834,94849) = ( 94834 × 94849) / 1
LCM(94834,94849) = 8994910066 / 1
LCM(94834,94849) = 8994910066

Least Common Multiple (LCM) of 94834 and 94849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94834 and 94849. First we will calculate the prime factors of 94834 and 94849.

Prime Factorization of 94834

Prime factors of 94834 are 2, 47417. Prime factorization of 94834 in exponential form is:

94834 = 21 × 474171

Prime Factorization of 94849

Prime factors of 94849 are 94849. Prime factorization of 94849 in exponential form is:

94849 = 948491

Now multiplying the highest exponent prime factors to calculate the LCM of 94834 and 94849.

LCM(94834,94849) = 21 × 474171 × 948491
LCM(94834,94849) = 8994910066