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What is the Least Common Multiple of 5177 and 5194?

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 5177 and 5194 is 26889338.

LCM(5177,5194) = 26889338

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Least Common Multiple of 5177 and 5194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5177 and 5194, than apply into the LCM equation.

GCF(5177,5194) = 1
LCM(5177,5194) = ( 5177 × 5194) / 1
LCM(5177,5194) = 26889338 / 1
LCM(5177,5194) = 26889338

Least Common Multiple (LCM) of 5177 and 5194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5177 and 5194. First we will calculate the prime factors of 5177 and 5194.

Prime Factorization of 5177

Prime factors of 5177 are 31, 167. Prime factorization of 5177 in exponential form is:

5177 = 311 × 1671

Prime Factorization of 5194

Prime factors of 5194 are 2, 7, 53. Prime factorization of 5194 in exponential form is:

5194 = 21 × 72 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 5177 and 5194.

LCM(5177,5194) = 311 × 1671 × 21 × 72 × 531
LCM(5177,5194) = 26889338