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What is the Least Common Multiple of 28135 and 28154?

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 28135 and 28154 is 792112790.

LCM(28135,28154) = 792112790

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Least Common Multiple of 28135 and 28154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28135 and 28154, than apply into the LCM equation.

GCF(28135,28154) = 1
LCM(28135,28154) = ( 28135 × 28154) / 1
LCM(28135,28154) = 792112790 / 1
LCM(28135,28154) = 792112790

Least Common Multiple (LCM) of 28135 and 28154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28135 and 28154. First we will calculate the prime factors of 28135 and 28154.

Prime Factorization of 28135

Prime factors of 28135 are 5, 17, 331. Prime factorization of 28135 in exponential form is:

28135 = 51 × 171 × 3311

Prime Factorization of 28154

Prime factors of 28154 are 2, 7, 2011. Prime factorization of 28154 in exponential form is:

28154 = 21 × 71 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 28135 and 28154.

LCM(28135,28154) = 51 × 171 × 3311 × 21 × 71 × 20111
LCM(28135,28154) = 792112790