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What is the Least Common Multiple of 68018 and 68034?

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 68018 and 68034 is 2313768306.

LCM(68018,68034) = 2313768306

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Least Common Multiple of 68018 and 68034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68018 and 68034, than apply into the LCM equation.

GCF(68018,68034) = 2
LCM(68018,68034) = ( 68018 × 68034) / 2
LCM(68018,68034) = 4627536612 / 2
LCM(68018,68034) = 2313768306

Least Common Multiple (LCM) of 68018 and 68034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68018 and 68034. First we will calculate the prime factors of 68018 and 68034.

Prime Factorization of 68018

Prime factors of 68018 are 2, 71, 479. Prime factorization of 68018 in exponential form is:

68018 = 21 × 711 × 4791

Prime Factorization of 68034

Prime factors of 68034 are 2, 3, 17, 23, 29. Prime factorization of 68034 in exponential form is:

68034 = 21 × 31 × 171 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 68018 and 68034.

LCM(68018,68034) = 21 × 711 × 4791 × 31 × 171 × 231 × 291
LCM(68018,68034) = 2313768306