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What is the Least Common Multiple of 7199 and 7210?

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 7210 is 51904790.

LCM(7199,7210) = 51904790

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Least Common Multiple of 7199 and 7210 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 7210, than apply into the LCM equation.

GCF(7199,7210) = 1
LCM(7199,7210) = ( 7199 × 7210) / 1
LCM(7199,7210) = 51904790 / 1
LCM(7199,7210) = 51904790

Least Common Multiple (LCM) of 7199 and 7210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7199 and 7210. First we will calculate the prime factors of 7199 and 7210.

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 7210

Prime factors of 7210 are 2, 5, 7, 103. Prime factorization of 7210 in exponential form is:

7210 = 21 × 51 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7199 and 7210.

LCM(7199,7210) = 231 × 3131 × 21 × 51 × 71 × 1031
LCM(7199,7210) = 51904790