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What is the Least Common Multiple of 8146 and 8163?

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 8146 and 8163 is 66495798.

LCM(8146,8163) = 66495798

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Least Common Multiple of 8146 and 8163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8146 and 8163, than apply into the LCM equation.

GCF(8146,8163) = 1
LCM(8146,8163) = ( 8146 × 8163) / 1
LCM(8146,8163) = 66495798 / 1
LCM(8146,8163) = 66495798

Least Common Multiple (LCM) of 8146 and 8163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8146 and 8163. First we will calculate the prime factors of 8146 and 8163.

Prime Factorization of 8146

Prime factors of 8146 are 2, 4073. Prime factorization of 8146 in exponential form is:

8146 = 21 × 40731

Prime Factorization of 8163

Prime factors of 8163 are 3, 907. Prime factorization of 8163 in exponential form is:

8163 = 32 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 8146 and 8163.

LCM(8146,8163) = 21 × 40731 × 32 × 9071
LCM(8146,8163) = 66495798