GCF and LCM Calculator Logo

What is the Least Common Multiple of 8068 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 8068 and 8082 is 32602788.

LCM(8068,8082) = 32602788

LCM Calculator and
and

Least Common Multiple of 8068 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 8068 and 8082, than apply into the LCM equation.

GCF(8068,8082) = 2
LCM(8068,8082) = ( 8068 × 8082) / 2
LCM(8068,8082) = 65205576 / 2
LCM(8068,8082) = 32602788

Least Common Multiple (LCM) of 8068 and 8082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8068 and 8082. First we will calculate the prime factors of 8068 and 8082.

Prime Factorization of 8068

Prime factors of 8068 are 2, 2017. Prime factorization of 8068 in exponential form is:

8068 = 22 × 20171

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 8068 and 8082.

LCM(8068,8082) = 22 × 20171 × 32 × 4491
LCM(8068,8082) = 32602788