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What is the Least Common Multiple of 66404 and 66411?

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 66404 and 66411 is 4409956044.

LCM(66404,66411) = 4409956044

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Least Common Multiple of 66404 and 66411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66404 and 66411, than apply into the LCM equation.

GCF(66404,66411) = 1
LCM(66404,66411) = ( 66404 × 66411) / 1
LCM(66404,66411) = 4409956044 / 1
LCM(66404,66411) = 4409956044

Least Common Multiple (LCM) of 66404 and 66411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66404 and 66411. First we will calculate the prime factors of 66404 and 66411.

Prime Factorization of 66404

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

66404 = 22 × 131 × 12771

Prime Factorization of 66411

Prime factors of 66411 are 3, 47, 157. Prime factorization of 66411 in exponential form is:

66411 = 32 × 471 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 66404 and 66411.

LCM(66404,66411) = 22 × 131 × 12771 × 32 × 471 × 1571
LCM(66404,66411) = 4409956044