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What is the Least Common Multiple of 28328 and 28343?

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 28328 and 28343 is 802900504.

LCM(28328,28343) = 802900504

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Least Common Multiple of 28328 and 28343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28328 and 28343, than apply into the LCM equation.

GCF(28328,28343) = 1
LCM(28328,28343) = ( 28328 × 28343) / 1
LCM(28328,28343) = 802900504 / 1
LCM(28328,28343) = 802900504

Least Common Multiple (LCM) of 28328 and 28343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28328 and 28343. First we will calculate the prime factors of 28328 and 28343.

Prime Factorization of 28328

Prime factors of 28328 are 2, 3541. Prime factorization of 28328 in exponential form is:

28328 = 23 × 35411

Prime Factorization of 28343

Prime factors of 28343 are 7, 4049. Prime factorization of 28343 in exponential form is:

28343 = 71 × 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 28328 and 28343.

LCM(28328,28343) = 23 × 35411 × 71 × 40491
LCM(28328,28343) = 802900504