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What is the Least Common Multiple of 5091 and 5104?

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 5091 and 5104 is 25984464.

LCM(5091,5104) = 25984464

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Least Common Multiple of 5091 and 5104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5091 and 5104, than apply into the LCM equation.

GCF(5091,5104) = 1
LCM(5091,5104) = ( 5091 × 5104) / 1
LCM(5091,5104) = 25984464 / 1
LCM(5091,5104) = 25984464

Least Common Multiple (LCM) of 5091 and 5104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5104. First we will calculate the prime factors of 5091 and 5104.

Prime Factorization of 5091

Prime factors of 5091 are 3, 1697. Prime factorization of 5091 in exponential form is:

5091 = 31 × 16971

Prime Factorization of 5104

Prime factors of 5104 are 2, 11, 29. Prime factorization of 5104 in exponential form is:

5104 = 24 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5091 and 5104.

LCM(5091,5104) = 31 × 16971 × 24 × 111 × 291
LCM(5091,5104) = 25984464