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What is the Least Common Multiple of 28182 and 28187?

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 28182 and 28187 is 794366034.

LCM(28182,28187) = 794366034

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Least Common Multiple of 28182 and 28187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28182 and 28187, than apply into the LCM equation.

GCF(28182,28187) = 1
LCM(28182,28187) = ( 28182 × 28187) / 1
LCM(28182,28187) = 794366034 / 1
LCM(28182,28187) = 794366034

Least Common Multiple (LCM) of 28182 and 28187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28182 and 28187. First we will calculate the prime factors of 28182 and 28187.

Prime Factorization of 28182

Prime factors of 28182 are 2, 3, 7, 11, 61. Prime factorization of 28182 in exponential form is:

28182 = 21 × 31 × 71 × 111 × 611

Prime Factorization of 28187

Prime factors of 28187 are 71, 397. Prime factorization of 28187 in exponential form is:

28187 = 711 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 28182 and 28187.

LCM(28182,28187) = 21 × 31 × 71 × 111 × 611 × 711 × 3971
LCM(28182,28187) = 794366034