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What is the Least Common Multiple of 5188 and 5208?

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 5188 and 5208 is 6754776.

LCM(5188,5208) = 6754776

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Least Common Multiple of 5188 and 5208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5188 and 5208, than apply into the LCM equation.

GCF(5188,5208) = 4
LCM(5188,5208) = ( 5188 × 5208) / 4
LCM(5188,5208) = 27019104 / 4
LCM(5188,5208) = 6754776

Least Common Multiple (LCM) of 5188 and 5208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5188 and 5208. First we will calculate the prime factors of 5188 and 5208.

Prime Factorization of 5188

Prime factors of 5188 are 2, 1297. Prime factorization of 5188 in exponential form is:

5188 = 22 × 12971

Prime Factorization of 5208

Prime factors of 5208 are 2, 3, 7, 31. Prime factorization of 5208 in exponential form is:

5208 = 23 × 31 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 5188 and 5208.

LCM(5188,5208) = 23 × 12971 × 31 × 71 × 311
LCM(5188,5208) = 6754776