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What is the Least Common Multiple of 28783 and 28789?

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 28783 and 28789 is 828633787.

LCM(28783,28789) = 828633787

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Least Common Multiple of 28783 and 28789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28783 and 28789, than apply into the LCM equation.

GCF(28783,28789) = 1
LCM(28783,28789) = ( 28783 × 28789) / 1
LCM(28783,28789) = 828633787 / 1
LCM(28783,28789) = 828633787

Least Common Multiple (LCM) of 28783 and 28789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28783 and 28789. First we will calculate the prime factors of 28783 and 28789.

Prime Factorization of 28783

Prime factors of 28783 are 107, 269. Prime factorization of 28783 in exponential form is:

28783 = 1071 × 2691

Prime Factorization of 28789

Prime factors of 28789 are 28789. Prime factorization of 28789 in exponential form is:

28789 = 287891

Now multiplying the highest exponent prime factors to calculate the LCM of 28783 and 28789.

LCM(28783,28789) = 1071 × 2691 × 287891
LCM(28783,28789) = 828633787