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What is the Least Common Multiple of 8107 and 8122?

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 8107 and 8122 is 65845054.

LCM(8107,8122) = 65845054

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Least Common Multiple of 8107 and 8122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8107 and 8122, than apply into the LCM equation.

GCF(8107,8122) = 1
LCM(8107,8122) = ( 8107 × 8122) / 1
LCM(8107,8122) = 65845054 / 1
LCM(8107,8122) = 65845054

Least Common Multiple (LCM) of 8107 and 8122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8107 and 8122. First we will calculate the prime factors of 8107 and 8122.

Prime Factorization of 8107

Prime factors of 8107 are 11, 67. Prime factorization of 8107 in exponential form is:

8107 = 112 × 671

Prime Factorization of 8122

Prime factors of 8122 are 2, 31, 131. Prime factorization of 8122 in exponential form is:

8122 = 21 × 311 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8107 and 8122.

LCM(8107,8122) = 112 × 671 × 21 × 311 × 1311
LCM(8107,8122) = 65845054