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What is the Least Common Multiple of 28438 and 28445?

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 28438 and 28445 is 808918910.

LCM(28438,28445) = 808918910

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Least Common Multiple of 28438 and 28445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28438 and 28445, than apply into the LCM equation.

GCF(28438,28445) = 1
LCM(28438,28445) = ( 28438 × 28445) / 1
LCM(28438,28445) = 808918910 / 1
LCM(28438,28445) = 808918910

Least Common Multiple (LCM) of 28438 and 28445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28438 and 28445. First we will calculate the prime factors of 28438 and 28445.

Prime Factorization of 28438

Prime factors of 28438 are 2, 59, 241. Prime factorization of 28438 in exponential form is:

28438 = 21 × 591 × 2411

Prime Factorization of 28445

Prime factors of 28445 are 5, 5689. Prime factorization of 28445 in exponential form is:

28445 = 51 × 56891

Now multiplying the highest exponent prime factors to calculate the LCM of 28438 and 28445.

LCM(28438,28445) = 21 × 591 × 2411 × 51 × 56891
LCM(28438,28445) = 808918910