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What is the Least Common Multiple of 54790 and 54809?

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 54790 and 54809 is 3002985110.

LCM(54790,54809) = 3002985110

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Least Common Multiple of 54790 and 54809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54790 and 54809, than apply into the LCM equation.

GCF(54790,54809) = 1
LCM(54790,54809) = ( 54790 × 54809) / 1
LCM(54790,54809) = 3002985110 / 1
LCM(54790,54809) = 3002985110

Least Common Multiple (LCM) of 54790 and 54809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54790 and 54809. First we will calculate the prime factors of 54790 and 54809.

Prime Factorization of 54790

Prime factors of 54790 are 2, 5, 5479. Prime factorization of 54790 in exponential form is:

54790 = 21 × 51 × 54791

Prime Factorization of 54809

Prime factors of 54809 are 23, 2383. Prime factorization of 54809 in exponential form is:

54809 = 231 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 54790 and 54809.

LCM(54790,54809) = 21 × 51 × 54791 × 231 × 23831
LCM(54790,54809) = 3002985110