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What is the Least Common Multiple of 66393 and 66402?

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 66393 and 66402 is 489847554.

LCM(66393,66402) = 489847554

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Least Common Multiple of 66393 and 66402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66393 and 66402, than apply into the LCM equation.

GCF(66393,66402) = 9
LCM(66393,66402) = ( 66393 × 66402) / 9
LCM(66393,66402) = 4408627986 / 9
LCM(66393,66402) = 489847554

Least Common Multiple (LCM) of 66393 and 66402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66393 and 66402. First we will calculate the prime factors of 66393 and 66402.

Prime Factorization of 66393

Prime factors of 66393 are 3, 2459. Prime factorization of 66393 in exponential form is:

66393 = 33 × 24591

Prime Factorization of 66402

Prime factors of 66402 are 2, 3, 7, 17, 31. Prime factorization of 66402 in exponential form is:

66402 = 21 × 32 × 71 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 66393 and 66402.

LCM(66393,66402) = 33 × 24591 × 21 × 71 × 171 × 311
LCM(66393,66402) = 489847554