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What is the Least Common Multiple of 64017 and 64029?

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 64017 and 64029 is 1366314831.

LCM(64017,64029) = 1366314831

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Least Common Multiple of 64017 and 64029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64017 and 64029, than apply into the LCM equation.

GCF(64017,64029) = 3
LCM(64017,64029) = ( 64017 × 64029) / 3
LCM(64017,64029) = 4098944493 / 3
LCM(64017,64029) = 1366314831

Least Common Multiple (LCM) of 64017 and 64029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64017 and 64029. First we will calculate the prime factors of 64017 and 64029.

Prime Factorization of 64017

Prime factors of 64017 are 3, 2371. Prime factorization of 64017 in exponential form is:

64017 = 33 × 23711

Prime Factorization of 64029

Prime factors of 64029 are 3, 7, 3049. Prime factorization of 64029 in exponential form is:

64029 = 31 × 71 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 64017 and 64029.

LCM(64017,64029) = 33 × 23711 × 71 × 30491
LCM(64017,64029) = 1366314831