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What is the Least Common Multiple of 51821 and 51829?

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 51821 and 51829 is 2685830609.

LCM(51821,51829) = 2685830609

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Least Common Multiple of 51821 and 51829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51821 and 51829, than apply into the LCM equation.

GCF(51821,51829) = 1
LCM(51821,51829) = ( 51821 × 51829) / 1
LCM(51821,51829) = 2685830609 / 1
LCM(51821,51829) = 2685830609

Least Common Multiple (LCM) of 51821 and 51829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51821 and 51829. First we will calculate the prime factors of 51821 and 51829.

Prime Factorization of 51821

Prime factors of 51821 are 7, 11, 673. Prime factorization of 51821 in exponential form is:

51821 = 71 × 111 × 6731

Prime Factorization of 51829

Prime factors of 51829 are 51829. Prime factorization of 51829 in exponential form is:

51829 = 518291

Now multiplying the highest exponent prime factors to calculate the LCM of 51821 and 51829.

LCM(51821,51829) = 71 × 111 × 6731 × 518291
LCM(51821,51829) = 2685830609