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What is the Least Common Multiple of 66401 and 66406?

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 66401 and 66406 is 4409424806.

LCM(66401,66406) = 4409424806

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Least Common Multiple of 66401 and 66406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66401 and 66406, than apply into the LCM equation.

GCF(66401,66406) = 1
LCM(66401,66406) = ( 66401 × 66406) / 1
LCM(66401,66406) = 4409424806 / 1
LCM(66401,66406) = 4409424806

Least Common Multiple (LCM) of 66401 and 66406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66401 and 66406. First we will calculate the prime factors of 66401 and 66406.

Prime Factorization of 66401

Prime factors of 66401 are 23, 2887. Prime factorization of 66401 in exponential form is:

66401 = 231 × 28871

Prime Factorization of 66406

Prime factors of 66406 are 2, 33203. Prime factorization of 66406 in exponential form is:

66406 = 21 × 332031

Now multiplying the highest exponent prime factors to calculate the LCM of 66401 and 66406.

LCM(66401,66406) = 231 × 28871 × 21 × 332031
LCM(66401,66406) = 4409424806