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What is the Least Common Multiple of 2809 and 2814?

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 2809 and 2814 is 7904526.

LCM(2809,2814) = 7904526

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Least Common Multiple of 2809 and 2814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2809 and 2814, than apply into the LCM equation.

GCF(2809,2814) = 1
LCM(2809,2814) = ( 2809 × 2814) / 1
LCM(2809,2814) = 7904526 / 1
LCM(2809,2814) = 7904526

Least Common Multiple (LCM) of 2809 and 2814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2809 and 2814. First we will calculate the prime factors of 2809 and 2814.

Prime Factorization of 2809

Prime factors of 2809 are 53. Prime factorization of 2809 in exponential form is:

2809 = 532

Prime Factorization of 2814

Prime factors of 2814 are 2, 3, 7, 67. Prime factorization of 2814 in exponential form is:

2814 = 21 × 31 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 2809 and 2814.

LCM(2809,2814) = 532 × 21 × 31 × 71 × 671
LCM(2809,2814) = 7904526