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What is the Least Common Multiple of 28351 and 28365?

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 28365 is 804176115.

LCM(28351,28365) = 804176115

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Least Common Multiple of 28351 and 28365 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 28365, than apply into the LCM equation.

GCF(28351,28365) = 1
LCM(28351,28365) = ( 28351 × 28365) / 1
LCM(28351,28365) = 804176115 / 1
LCM(28351,28365) = 804176115

Least Common Multiple (LCM) of 28351 and 28365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28351 and 28365. First we will calculate the prime factors of 28351 and 28365.

Prime Factorization of 28351

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

28351 = 283511

Prime Factorization of 28365

Prime factors of 28365 are 3, 5, 31, 61. Prime factorization of 28365 in exponential form is:

28365 = 31 × 51 × 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 28351 and 28365.

LCM(28351,28365) = 283511 × 31 × 51 × 311 × 611
LCM(28351,28365) = 804176115