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What is the Least Common Multiple of 5178 and 5189?

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 5178 and 5189 is 26868642.

LCM(5178,5189) = 26868642

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Least Common Multiple of 5178 and 5189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5178 and 5189, than apply into the LCM equation.

GCF(5178,5189) = 1
LCM(5178,5189) = ( 5178 × 5189) / 1
LCM(5178,5189) = 26868642 / 1
LCM(5178,5189) = 26868642

Least Common Multiple (LCM) of 5178 and 5189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5178 and 5189. First we will calculate the prime factors of 5178 and 5189.

Prime Factorization of 5178

Prime factors of 5178 are 2, 3, 863. Prime factorization of 5178 in exponential form is:

5178 = 21 × 31 × 8631

Prime Factorization of 5189

Prime factors of 5189 are 5189. Prime factorization of 5189 in exponential form is:

5189 = 51891

Now multiplying the highest exponent prime factors to calculate the LCM of 5178 and 5189.

LCM(5178,5189) = 21 × 31 × 8631 × 51891
LCM(5178,5189) = 26868642