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What is the Least Common Multiple of 8162 and 8168?

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 8162 and 8168 is 33333608.

LCM(8162,8168) = 33333608

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Least Common Multiple of 8162 and 8168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8162 and 8168, than apply into the LCM equation.

GCF(8162,8168) = 2
LCM(8162,8168) = ( 8162 × 8168) / 2
LCM(8162,8168) = 66667216 / 2
LCM(8162,8168) = 33333608

Least Common Multiple (LCM) of 8162 and 8168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8162 and 8168. First we will calculate the prime factors of 8162 and 8168.

Prime Factorization of 8162

Prime factors of 8162 are 2, 7, 11, 53. Prime factorization of 8162 in exponential form is:

8162 = 21 × 71 × 111 × 531

Prime Factorization of 8168

Prime factors of 8168 are 2, 1021. Prime factorization of 8168 in exponential form is:

8168 = 23 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 8162 and 8168.

LCM(8162,8168) = 23 × 71 × 111 × 531 × 10211
LCM(8162,8168) = 33333608