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What is the Least Common Multiple of 28853 and 28869?

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 28853 and 28869 is 832957257.

LCM(28853,28869) = 832957257

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Least Common Multiple of 28853 and 28869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28853 and 28869, than apply into the LCM equation.

GCF(28853,28869) = 1
LCM(28853,28869) = ( 28853 × 28869) / 1
LCM(28853,28869) = 832957257 / 1
LCM(28853,28869) = 832957257

Least Common Multiple (LCM) of 28853 and 28869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28853 and 28869. First we will calculate the prime factors of 28853 and 28869.

Prime Factorization of 28853

Prime factors of 28853 are 11, 43, 61. Prime factorization of 28853 in exponential form is:

28853 = 111 × 431 × 611

Prime Factorization of 28869

Prime factors of 28869 are 3, 9623. Prime factorization of 28869 in exponential form is:

28869 = 31 × 96231

Now multiplying the highest exponent prime factors to calculate the LCM of 28853 and 28869.

LCM(28853,28869) = 111 × 431 × 611 × 31 × 96231
LCM(28853,28869) = 832957257