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What is the Least Common Multiple of 64018 and 64024?

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 64024 is 2049344216.

LCM(64018,64024) = 2049344216

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Least Common Multiple of 64018 and 64024 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 64024, than apply into the LCM equation.

GCF(64018,64024) = 2
LCM(64018,64024) = ( 64018 × 64024) / 2
LCM(64018,64024) = 4098688432 / 2
LCM(64018,64024) = 2049344216

Least Common Multiple (LCM) of 64018 and 64024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64018 and 64024. First we will calculate the prime factors of 64018 and 64024.

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 64024

Prime factors of 64024 are 2, 53, 151. Prime factorization of 64024 in exponential form is:

64024 = 23 × 531 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 64018 and 64024.

LCM(64018,64024) = 23 × 320091 × 531 × 1511
LCM(64018,64024) = 2049344216