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What is the Least Common Multiple of 40469 and 40481?

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 40469 and 40481 is 1638225589.

LCM(40469,40481) = 1638225589

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Least Common Multiple of 40469 and 40481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40469 and 40481, than apply into the LCM equation.

GCF(40469,40481) = 1
LCM(40469,40481) = ( 40469 × 40481) / 1
LCM(40469,40481) = 1638225589 / 1
LCM(40469,40481) = 1638225589

Least Common Multiple (LCM) of 40469 and 40481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40469 and 40481. First we will calculate the prime factors of 40469 and 40481.

Prime Factorization of 40469

Prime factors of 40469 are 11, 13, 283. Prime factorization of 40469 in exponential form is:

40469 = 111 × 131 × 2831

Prime Factorization of 40481

Prime factors of 40481 are 7, 5783. Prime factorization of 40481 in exponential form is:

40481 = 71 × 57831

Now multiplying the highest exponent prime factors to calculate the LCM of 40469 and 40481.

LCM(40469,40481) = 111 × 131 × 2831 × 71 × 57831
LCM(40469,40481) = 1638225589