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What is the Least Common Multiple of 64239 and 64258?

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 64239 and 64258 is 217256298.

LCM(64239,64258) = 217256298

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Least Common Multiple of 64239 and 64258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64239 and 64258, than apply into the LCM equation.

GCF(64239,64258) = 19
LCM(64239,64258) = ( 64239 × 64258) / 19
LCM(64239,64258) = 4127869662 / 19
LCM(64239,64258) = 217256298

Least Common Multiple (LCM) of 64239 and 64258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64239 and 64258. First we will calculate the prime factors of 64239 and 64258.

Prime Factorization of 64239

Prime factors of 64239 are 3, 7, 19, 23. Prime factorization of 64239 in exponential form is:

64239 = 31 × 72 × 191 × 231

Prime Factorization of 64258

Prime factors of 64258 are 2, 19, 89. Prime factorization of 64258 in exponential form is:

64258 = 21 × 192 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 64239 and 64258.

LCM(64239,64258) = 31 × 72 × 192 × 231 × 21 × 891
LCM(64239,64258) = 217256298