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What is the Least Common Multiple of 68305 and 68319?

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 68305 and 68319 is 4666529295.

LCM(68305,68319) = 4666529295

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Least Common Multiple of 68305 and 68319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68305 and 68319, than apply into the LCM equation.

GCF(68305,68319) = 1
LCM(68305,68319) = ( 68305 × 68319) / 1
LCM(68305,68319) = 4666529295 / 1
LCM(68305,68319) = 4666529295

Least Common Multiple (LCM) of 68305 and 68319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68305 and 68319. First we will calculate the prime factors of 68305 and 68319.

Prime Factorization of 68305

Prime factors of 68305 are 5, 19, 719. Prime factorization of 68305 in exponential form is:

68305 = 51 × 191 × 7191

Prime Factorization of 68319

Prime factors of 68319 are 3, 7591. Prime factorization of 68319 in exponential form is:

68319 = 32 × 75911

Now multiplying the highest exponent prime factors to calculate the LCM of 68305 and 68319.

LCM(68305,68319) = 51 × 191 × 7191 × 32 × 75911
LCM(68305,68319) = 4666529295