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What is the Least Common Multiple of 8188 and 8199?

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 8188 and 8199 is 67133412.

LCM(8188,8199) = 67133412

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Least Common Multiple of 8188 and 8199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8188 and 8199, than apply into the LCM equation.

GCF(8188,8199) = 1
LCM(8188,8199) = ( 8188 × 8199) / 1
LCM(8188,8199) = 67133412 / 1
LCM(8188,8199) = 67133412

Least Common Multiple (LCM) of 8188 and 8199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8199. First we will calculate the prime factors of 8188 and 8199.

Prime Factorization of 8188

Prime factors of 8188 are 2, 23, 89. Prime factorization of 8188 in exponential form is:

8188 = 22 × 231 × 891

Prime Factorization of 8199

Prime factors of 8199 are 3, 911. Prime factorization of 8199 in exponential form is:

8199 = 32 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8199.

LCM(8188,8199) = 22 × 231 × 891 × 32 × 9111
LCM(8188,8199) = 67133412