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What is the Least Common Multiple of 28853 and 28870?

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 28870 is 832986110.

LCM(28853,28870) = 832986110

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Least Common Multiple of 28853 and 28870 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 28870, than apply into the LCM equation.

GCF(28853,28870) = 1
LCM(28853,28870) = ( 28853 × 28870) / 1
LCM(28853,28870) = 832986110 / 1
LCM(28853,28870) = 832986110

Least Common Multiple (LCM) of 28853 and 28870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28853 and 28870. First we will calculate the prime factors of 28853 and 28870.

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 28870

Prime factors of 28870 are 2, 5, 2887. Prime factorization of 28870 in exponential form is:

28870 = 21 × 51 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 28853 and 28870.

LCM(28853,28870) = 111 × 431 × 611 × 21 × 51 × 28871
LCM(28853,28870) = 832986110