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What is the Least Common Multiple of 94833 and 94841?

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 94833 and 94841 is 8994056553.

LCM(94833,94841) = 8994056553

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Least Common Multiple of 94833 and 94841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94833 and 94841, than apply into the LCM equation.

GCF(94833,94841) = 1
LCM(94833,94841) = ( 94833 × 94841) / 1
LCM(94833,94841) = 8994056553 / 1
LCM(94833,94841) = 8994056553

Least Common Multiple (LCM) of 94833 and 94841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94833 and 94841. First we will calculate the prime factors of 94833 and 94841.

Prime Factorization of 94833

Prime factors of 94833 are 3, 41, 257. Prime factorization of 94833 in exponential form is:

94833 = 32 × 411 × 2571

Prime Factorization of 94841

Prime factors of 94841 are 94841. Prime factorization of 94841 in exponential form is:

94841 = 948411

Now multiplying the highest exponent prime factors to calculate the LCM of 94833 and 94841.

LCM(94833,94841) = 32 × 411 × 2571 × 948411
LCM(94833,94841) = 8994056553