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What is the Least Common Multiple of 28645 and 28652?

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 28645 and 28652 is 820736540.

LCM(28645,28652) = 820736540

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Least Common Multiple of 28645 and 28652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28645 and 28652, than apply into the LCM equation.

GCF(28645,28652) = 1
LCM(28645,28652) = ( 28645 × 28652) / 1
LCM(28645,28652) = 820736540 / 1
LCM(28645,28652) = 820736540

Least Common Multiple (LCM) of 28645 and 28652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28645 and 28652. First we will calculate the prime factors of 28645 and 28652.

Prime Factorization of 28645

Prime factors of 28645 are 5, 17, 337. Prime factorization of 28645 in exponential form is:

28645 = 51 × 171 × 3371

Prime Factorization of 28652

Prime factors of 28652 are 2, 13, 19, 29. Prime factorization of 28652 in exponential form is:

28652 = 22 × 131 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 28645 and 28652.

LCM(28645,28652) = 51 × 171 × 3371 × 22 × 131 × 191 × 291
LCM(28645,28652) = 820736540