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What is the Least Common Multiple of 28721 and 28739?

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 28739 is 825412819.

LCM(28721,28739) = 825412819

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Least Common Multiple of 28721 and 28739 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 28739, than apply into the LCM equation.

GCF(28721,28739) = 1
LCM(28721,28739) = ( 28721 × 28739) / 1
LCM(28721,28739) = 825412819 / 1
LCM(28721,28739) = 825412819

Least Common Multiple (LCM) of 28721 and 28739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28721 and 28739. First we will calculate the prime factors of 28721 and 28739.

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 28739

Prime factors of 28739 are 29, 991. Prime factorization of 28739 in exponential form is:

28739 = 291 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 28721 and 28739.

LCM(28721,28739) = 71 × 111 × 3731 × 291 × 9911
LCM(28721,28739) = 825412819