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What is the Least Common Multiple of 28191 and 28203?

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 28191 and 28203 is 265023591.

LCM(28191,28203) = 265023591

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Least Common Multiple of 28191 and 28203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28191 and 28203, than apply into the LCM equation.

GCF(28191,28203) = 3
LCM(28191,28203) = ( 28191 × 28203) / 3
LCM(28191,28203) = 795070773 / 3
LCM(28191,28203) = 265023591

Least Common Multiple (LCM) of 28191 and 28203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28191 and 28203. First we will calculate the prime factors of 28191 and 28203.

Prime Factorization of 28191

Prime factors of 28191 are 3, 9397. Prime factorization of 28191 in exponential form is:

28191 = 31 × 93971

Prime Factorization of 28203

Prime factors of 28203 are 3, 7, 17, 79. Prime factorization of 28203 in exponential form is:

28203 = 31 × 71 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 28191 and 28203.

LCM(28191,28203) = 31 × 93971 × 71 × 171 × 791
LCM(28191,28203) = 265023591