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What is the Least Common Multiple of 93474 and 93492?

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 93474 and 93492 is 485503956.

LCM(93474,93492) = 485503956

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Least Common Multiple of 93474 and 93492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93474 and 93492, than apply into the LCM equation.

GCF(93474,93492) = 18
LCM(93474,93492) = ( 93474 × 93492) / 18
LCM(93474,93492) = 8739071208 / 18
LCM(93474,93492) = 485503956

Least Common Multiple (LCM) of 93474 and 93492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93474 and 93492. First we will calculate the prime factors of 93474 and 93492.

Prime Factorization of 93474

Prime factors of 93474 are 2, 3, 577. Prime factorization of 93474 in exponential form is:

93474 = 21 × 34 × 5771

Prime Factorization of 93492

Prime factors of 93492 are 2, 3, 7, 53. Prime factorization of 93492 in exponential form is:

93492 = 22 × 32 × 72 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 93474 and 93492.

LCM(93474,93492) = 22 × 34 × 5771 × 72 × 531
LCM(93474,93492) = 485503956