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What is the Least Common Multiple of 64018 and 64036?

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 64018 and 64036 is 2049728324.

LCM(64018,64036) = 2049728324

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Least Common Multiple of 64018 and 64036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64018 and 64036, than apply into the LCM equation.

GCF(64018,64036) = 2
LCM(64018,64036) = ( 64018 × 64036) / 2
LCM(64018,64036) = 4099456648 / 2
LCM(64018,64036) = 2049728324

Least Common Multiple (LCM) of 64018 and 64036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64018 and 64036. First we will calculate the prime factors of 64018 and 64036.

Prime Factorization of 64018

Prime factors of 64018 are 2, 32009. Prime factorization of 64018 in exponential form is:

64018 = 21 × 320091

Prime Factorization of 64036

Prime factors of 64036 are 2, 7, 2287. Prime factorization of 64036 in exponential form is:

64036 = 22 × 71 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 64018 and 64036.

LCM(64018,64036) = 22 × 320091 × 71 × 22871
LCM(64018,64036) = 2049728324