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What is the Least Common Multiple of 829 and 844?

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 829 and 844 is 699676.

LCM(829,844) = 699676

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Least Common Multiple of 829 and 844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 829 and 844, than apply into the LCM equation.

GCF(829,844) = 1
LCM(829,844) = ( 829 × 844) / 1
LCM(829,844) = 699676 / 1
LCM(829,844) = 699676

Least Common Multiple (LCM) of 829 and 844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 829 and 844. First we will calculate the prime factors of 829 and 844.

Prime Factorization of 829

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

Prime Factorization of 844

Prime factors of 844 are 2, 211. Prime factorization of 844 in exponential form is:

844 = 22 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 829 and 844.

LCM(829,844) = 8291 × 22 × 2111
LCM(829,844) = 699676