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What is the Least Common Multiple of 64068 and 64082?

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 64068 and 64082 is 2052802788.

LCM(64068,64082) = 2052802788

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Least Common Multiple of 64068 and 64082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64068 and 64082, than apply into the LCM equation.

GCF(64068,64082) = 2
LCM(64068,64082) = ( 64068 × 64082) / 2
LCM(64068,64082) = 4105605576 / 2
LCM(64068,64082) = 2052802788

Least Common Multiple (LCM) of 64068 and 64082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64068 and 64082. First we will calculate the prime factors of 64068 and 64082.

Prime Factorization of 64068

Prime factors of 64068 are 2, 3, 19, 281. Prime factorization of 64068 in exponential form is:

64068 = 22 × 31 × 191 × 2811

Prime Factorization of 64082

Prime factors of 64082 are 2, 179. Prime factorization of 64082 in exponential form is:

64082 = 21 × 1792

Now multiplying the highest exponent prime factors to calculate the LCM of 64068 and 64082.

LCM(64068,64082) = 22 × 31 × 191 × 2811 × 1792
LCM(64068,64082) = 2052802788