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What is the Least Common Multiple of 28853 and 28859?

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 28859 is 832668727.

LCM(28853,28859) = 832668727

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Least Common Multiple of 28853 and 28859 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 28859, than apply into the LCM equation.

GCF(28853,28859) = 1
LCM(28853,28859) = ( 28853 × 28859) / 1
LCM(28853,28859) = 832668727 / 1
LCM(28853,28859) = 832668727

Least Common Multiple (LCM) of 28853 and 28859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28853 and 28859. First we will calculate the prime factors of 28853 and 28859.

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 28859

Prime factors of 28859 are 28859. Prime factorization of 28859 in exponential form is:

28859 = 288591

Now multiplying the highest exponent prime factors to calculate the LCM of 28853 and 28859.

LCM(28853,28859) = 111 × 431 × 611 × 288591
LCM(28853,28859) = 832668727