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What is the Least Common Multiple of 8078 and 8082?

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 8078 and 8082 is 32643198.

LCM(8078,8082) = 32643198

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Least Common Multiple of 8078 and 8082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8078 and 8082, than apply into the LCM equation.

GCF(8078,8082) = 2
LCM(8078,8082) = ( 8078 × 8082) / 2
LCM(8078,8082) = 65286396 / 2
LCM(8078,8082) = 32643198

Least Common Multiple (LCM) of 8078 and 8082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8078 and 8082. First we will calculate the prime factors of 8078 and 8082.

Prime Factorization of 8078

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

8078 = 21 × 71 × 5771

Prime Factorization of 8082

Prime factors of 8082 are 2, 3, 449. Prime factorization of 8082 in exponential form is:

8082 = 21 × 32 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 8078 and 8082.

LCM(8078,8082) = 21 × 71 × 5771 × 32 × 4491
LCM(8078,8082) = 32643198