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What is the Least Common Multiple of 8188 and 8200?

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 8200 is 16785400.

LCM(8188,8200) = 16785400

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Least Common Multiple of 8188 and 8200 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 8200, than apply into the LCM equation.

GCF(8188,8200) = 4
LCM(8188,8200) = ( 8188 × 8200) / 4
LCM(8188,8200) = 67141600 / 4
LCM(8188,8200) = 16785400

Least Common Multiple (LCM) of 8188 and 8200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8200. First we will calculate the prime factors of 8188 and 8200.

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 8200

Prime factors of 8200 are 2, 5, 41. Prime factorization of 8200 in exponential form is:

8200 = 23 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8200.

LCM(8188,8200) = 23 × 231 × 891 × 52 × 411
LCM(8188,8200) = 16785400