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What is the Least Common Multiple of 28739 and 28746?

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 28739 and 28746 is 826131294.

LCM(28739,28746) = 826131294

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Least Common Multiple of 28739 and 28746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28739 and 28746, than apply into the LCM equation.

GCF(28739,28746) = 1
LCM(28739,28746) = ( 28739 × 28746) / 1
LCM(28739,28746) = 826131294 / 1
LCM(28739,28746) = 826131294

Least Common Multiple (LCM) of 28739 and 28746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28739 and 28746. First we will calculate the prime factors of 28739 and 28746.

Prime Factorization of 28739

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

28739 = 291 × 9911

Prime Factorization of 28746

Prime factors of 28746 are 2, 3, 1597. Prime factorization of 28746 in exponential form is:

28746 = 21 × 32 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 28739 and 28746.

LCM(28739,28746) = 291 × 9911 × 21 × 32 × 15971
LCM(28739,28746) = 826131294