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What is the Least Common Multiple of 8162 and 8176?

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 8176 is 4766608.

LCM(8162,8176) = 4766608

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Least Common Multiple of 8162 and 8176 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 8176, than apply into the LCM equation.

GCF(8162,8176) = 14
LCM(8162,8176) = ( 8162 × 8176) / 14
LCM(8162,8176) = 66732512 / 14
LCM(8162,8176) = 4766608

Least Common Multiple (LCM) of 8162 and 8176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8162 and 8176. First we will calculate the prime factors of 8162 and 8176.

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 8176

Prime factors of 8176 are 2, 7, 73. Prime factorization of 8176 in exponential form is:

8176 = 24 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 8162 and 8176.

LCM(8162,8176) = 24 × 71 × 111 × 531 × 731
LCM(8162,8176) = 4766608