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What is the Least Common Multiple of 28721 and 28729?

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 28721 and 28729 is 825125609.

LCM(28721,28729) = 825125609

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Least Common Multiple of 28721 and 28729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28721 and 28729, than apply into the LCM equation.

GCF(28721,28729) = 1
LCM(28721,28729) = ( 28721 × 28729) / 1
LCM(28721,28729) = 825125609 / 1
LCM(28721,28729) = 825125609

Least Common Multiple (LCM) of 28721 and 28729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28721 and 28729. First we will calculate the prime factors of 28721 and 28729.

Prime Factorization of 28721

Prime factors of 28721 are 7, 11, 373. Prime factorization of 28721 in exponential form is:

28721 = 71 × 111 × 3731

Prime Factorization of 28729

Prime factors of 28729 are 28729. Prime factorization of 28729 in exponential form is:

28729 = 287291

Now multiplying the highest exponent prime factors to calculate the LCM of 28721 and 28729.

LCM(28721,28729) = 71 × 111 × 3731 × 287291
LCM(28721,28729) = 825125609