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What is the Least Common Multiple of 66398 and 66404?

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 66398 and 66404 is 2204546396.

LCM(66398,66404) = 2204546396

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Least Common Multiple of 66398 and 66404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66398 and 66404, than apply into the LCM equation.

GCF(66398,66404) = 2
LCM(66398,66404) = ( 66398 × 66404) / 2
LCM(66398,66404) = 4409092792 / 2
LCM(66398,66404) = 2204546396

Least Common Multiple (LCM) of 66398 and 66404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66398 and 66404. First we will calculate the prime factors of 66398 and 66404.

Prime Factorization of 66398

Prime factors of 66398 are 2, 33199. Prime factorization of 66398 in exponential form is:

66398 = 21 × 331991

Prime Factorization of 66404

Prime factors of 66404 are 2, 13, 1277. Prime factorization of 66404 in exponential form is:

66404 = 22 × 131 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 66398 and 66404.

LCM(66398,66404) = 22 × 331991 × 131 × 12771
LCM(66398,66404) = 2204546396