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What is the Least Common Multiple of 65188 and 65199?

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 65188 and 65199 is 4250192412.

LCM(65188,65199) = 4250192412

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Least Common Multiple of 65188 and 65199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65188 and 65199, than apply into the LCM equation.

GCF(65188,65199) = 1
LCM(65188,65199) = ( 65188 × 65199) / 1
LCM(65188,65199) = 4250192412 / 1
LCM(65188,65199) = 4250192412

Least Common Multiple (LCM) of 65188 and 65199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65188 and 65199. First we will calculate the prime factors of 65188 and 65199.

Prime Factorization of 65188

Prime factors of 65188 are 2, 43, 379. Prime factorization of 65188 in exponential form is:

65188 = 22 × 431 × 3791

Prime Factorization of 65199

Prime factors of 65199 are 3, 103, 211. Prime factorization of 65199 in exponential form is:

65199 = 31 × 1031 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 65188 and 65199.

LCM(65188,65199) = 22 × 431 × 3791 × 31 × 1031 × 2111
LCM(65188,65199) = 4250192412