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What is the Least Common Multiple of 8188 and 8206?

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 8206 is 33595364.

LCM(8188,8206) = 33595364

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Least Common Multiple of 8188 and 8206 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 8206, than apply into the LCM equation.

GCF(8188,8206) = 2
LCM(8188,8206) = ( 8188 × 8206) / 2
LCM(8188,8206) = 67190728 / 2
LCM(8188,8206) = 33595364

Least Common Multiple (LCM) of 8188 and 8206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8206. First we will calculate the prime factors of 8188 and 8206.

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 8206

Prime factors of 8206 are 2, 11, 373. Prime factorization of 8206 in exponential form is:

8206 = 21 × 111 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8206.

LCM(8188,8206) = 22 × 231 × 891 × 111 × 3731
LCM(8188,8206) = 33595364