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What is the Least Common Multiple of 68258 and 68275?

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 68258 and 68275 is 4660314950.

LCM(68258,68275) = 4660314950

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Least Common Multiple of 68258 and 68275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68258 and 68275, than apply into the LCM equation.

GCF(68258,68275) = 1
LCM(68258,68275) = ( 68258 × 68275) / 1
LCM(68258,68275) = 4660314950 / 1
LCM(68258,68275) = 4660314950

Least Common Multiple (LCM) of 68258 and 68275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68258 and 68275. First we will calculate the prime factors of 68258 and 68275.

Prime Factorization of 68258

Prime factors of 68258 are 2, 34129. Prime factorization of 68258 in exponential form is:

68258 = 21 × 341291

Prime Factorization of 68275

Prime factors of 68275 are 5, 2731. Prime factorization of 68275 in exponential form is:

68275 = 52 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 68258 and 68275.

LCM(68258,68275) = 21 × 341291 × 52 × 27311
LCM(68258,68275) = 4660314950