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What is the Least Common Multiple of 8097 and 8106?

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 8097 and 8106 is 21878094.

LCM(8097,8106) = 21878094

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Least Common Multiple of 8097 and 8106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8097 and 8106, than apply into the LCM equation.

GCF(8097,8106) = 3
LCM(8097,8106) = ( 8097 × 8106) / 3
LCM(8097,8106) = 65634282 / 3
LCM(8097,8106) = 21878094

Least Common Multiple (LCM) of 8097 and 8106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8097 and 8106. First we will calculate the prime factors of 8097 and 8106.

Prime Factorization of 8097

Prime factors of 8097 are 3, 2699. Prime factorization of 8097 in exponential form is:

8097 = 31 × 26991

Prime Factorization of 8106

Prime factors of 8106 are 2, 3, 7, 193. Prime factorization of 8106 in exponential form is:

8106 = 21 × 31 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8097 and 8106.

LCM(8097,8106) = 31 × 26991 × 21 × 71 × 1931
LCM(8097,8106) = 21878094