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What is the Least Common Multiple of 8060 and 8078?

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 8060 and 8078 is 32554340.

LCM(8060,8078) = 32554340

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Least Common Multiple of 8060 and 8078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8060 and 8078, than apply into the LCM equation.

GCF(8060,8078) = 2
LCM(8060,8078) = ( 8060 × 8078) / 2
LCM(8060,8078) = 65108680 / 2
LCM(8060,8078) = 32554340

Least Common Multiple (LCM) of 8060 and 8078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8060 and 8078. First we will calculate the prime factors of 8060 and 8078.

Prime Factorization of 8060

Prime factors of 8060 are 2, 5, 13, 31. Prime factorization of 8060 in exponential form is:

8060 = 22 × 51 × 131 × 311

Prime Factorization of 8078

Prime factors of 8078 are 2, 7, 577. Prime factorization of 8078 in exponential form is:

8078 = 21 × 71 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 8060 and 8078.

LCM(8060,8078) = 22 × 51 × 131 × 311 × 71 × 5771
LCM(8060,8078) = 32554340