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What is the Least Common Multiple of 7199 and 7208?

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 7199 and 7208 is 51890392.

LCM(7199,7208) = 51890392

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Least Common Multiple of 7199 and 7208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7199 and 7208, than apply into the LCM equation.

GCF(7199,7208) = 1
LCM(7199,7208) = ( 7199 × 7208) / 1
LCM(7199,7208) = 51890392 / 1
LCM(7199,7208) = 51890392

Least Common Multiple (LCM) of 7199 and 7208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7199 and 7208. First we will calculate the prime factors of 7199 and 7208.

Prime Factorization of 7199

Prime factors of 7199 are 23, 313. Prime factorization of 7199 in exponential form is:

7199 = 231 × 3131

Prime Factorization of 7208

Prime factors of 7208 are 2, 17, 53. Prime factorization of 7208 in exponential form is:

7208 = 23 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 7199 and 7208.

LCM(7199,7208) = 231 × 3131 × 23 × 171 × 531
LCM(7199,7208) = 51890392