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What is the Least Common Multiple of 28351 and 28370?

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 28351 and 28370 is 804317870.

LCM(28351,28370) = 804317870

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Least Common Multiple of 28351 and 28370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28351 and 28370, than apply into the LCM equation.

GCF(28351,28370) = 1
LCM(28351,28370) = ( 28351 × 28370) / 1
LCM(28351,28370) = 804317870 / 1
LCM(28351,28370) = 804317870

Least Common Multiple (LCM) of 28351 and 28370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28351 and 28370. First we will calculate the prime factors of 28351 and 28370.

Prime Factorization of 28351

Prime factors of 28351 are 28351. Prime factorization of 28351 in exponential form is:

28351 = 283511

Prime Factorization of 28370

Prime factors of 28370 are 2, 5, 2837. Prime factorization of 28370 in exponential form is:

28370 = 21 × 51 × 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 28351 and 28370.

LCM(28351,28370) = 283511 × 21 × 51 × 28371
LCM(28351,28370) = 804317870