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What is the Least Common Multiple of 28852 and 28866?

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 28852 and 28866 is 416420916.

LCM(28852,28866) = 416420916

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Least Common Multiple of 28852 and 28866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28852 and 28866, than apply into the LCM equation.

GCF(28852,28866) = 2
LCM(28852,28866) = ( 28852 × 28866) / 2
LCM(28852,28866) = 832841832 / 2
LCM(28852,28866) = 416420916

Least Common Multiple (LCM) of 28852 and 28866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28852 and 28866. First we will calculate the prime factors of 28852 and 28866.

Prime Factorization of 28852

Prime factors of 28852 are 2, 7213. Prime factorization of 28852 in exponential form is:

28852 = 22 × 72131

Prime Factorization of 28866

Prime factors of 28866 are 2, 3, 17, 283. Prime factorization of 28866 in exponential form is:

28866 = 21 × 31 × 171 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 28852 and 28866.

LCM(28852,28866) = 22 × 72131 × 31 × 171 × 2831
LCM(28852,28866) = 416420916