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What is the Least Common Multiple of 28307 and 28319?

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 28307 and 28319 is 801625933.

LCM(28307,28319) = 801625933

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Least Common Multiple of 28307 and 28319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28307 and 28319, than apply into the LCM equation.

GCF(28307,28319) = 1
LCM(28307,28319) = ( 28307 × 28319) / 1
LCM(28307,28319) = 801625933 / 1
LCM(28307,28319) = 801625933

Least Common Multiple (LCM) of 28307 and 28319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28307 and 28319. First we will calculate the prime factors of 28307 and 28319.

Prime Factorization of 28307

Prime factors of 28307 are 28307. Prime factorization of 28307 in exponential form is:

28307 = 283071

Prime Factorization of 28319

Prime factors of 28319 are 28319. Prime factorization of 28319 in exponential form is:

28319 = 283191

Now multiplying the highest exponent prime factors to calculate the LCM of 28307 and 28319.

LCM(28307,28319) = 283071 × 283191
LCM(28307,28319) = 801625933