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What is the Least Common Multiple of 28729 and 28743?

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 28729 and 28743 is 825757647.

LCM(28729,28743) = 825757647

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Least Common Multiple of 28729 and 28743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28729 and 28743, than apply into the LCM equation.

GCF(28729,28743) = 1
LCM(28729,28743) = ( 28729 × 28743) / 1
LCM(28729,28743) = 825757647 / 1
LCM(28729,28743) = 825757647

Least Common Multiple (LCM) of 28729 and 28743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28729 and 28743. First we will calculate the prime factors of 28729 and 28743.

Prime Factorization of 28729

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

28729 = 287291

Prime Factorization of 28743

Prime factors of 28743 are 3, 11, 13, 67. Prime factorization of 28743 in exponential form is:

28743 = 31 × 111 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 28729 and 28743.

LCM(28729,28743) = 287291 × 31 × 111 × 131 × 671
LCM(28729,28743) = 825757647