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What is the Least Common Multiple of 28117 and 28135?

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 28117 and 28135 is 791071795.

LCM(28117,28135) = 791071795

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Least Common Multiple of 28117 and 28135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28117 and 28135, than apply into the LCM equation.

GCF(28117,28135) = 1
LCM(28117,28135) = ( 28117 × 28135) / 1
LCM(28117,28135) = 791071795 / 1
LCM(28117,28135) = 791071795

Least Common Multiple (LCM) of 28117 and 28135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28117 and 28135. First we will calculate the prime factors of 28117 and 28135.

Prime Factorization of 28117

Prime factors of 28117 are 31, 907. Prime factorization of 28117 in exponential form is:

28117 = 311 × 9071

Prime Factorization of 28135

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

28135 = 51 × 171 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 28117 and 28135.

LCM(28117,28135) = 311 × 9071 × 51 × 171 × 3311
LCM(28117,28135) = 791071795