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What is the Least Common Multiple of 94824 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 94824 and 94841 is 8993202984.

LCM(94824,94841) = 8993202984

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Least Common Multiple of 94824 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 94824 and 94841, than apply into the LCM equation.

GCF(94824,94841) = 1
LCM(94824,94841) = ( 94824 × 94841) / 1
LCM(94824,94841) = 8993202984 / 1
LCM(94824,94841) = 8993202984

Least Common Multiple (LCM) of 94824 and 94841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94824 and 94841. First we will calculate the prime factors of 94824 and 94841.

Prime Factorization of 94824

Prime factors of 94824 are 2, 3, 439. Prime factorization of 94824 in exponential form is:

94824 = 23 × 33 × 4391

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 94824 and 94841.

LCM(94824,94841) = 23 × 33 × 4391 × 948411
LCM(94824,94841) = 8993202984