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What is the Least Common Multiple of 68244 and 68258?

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 68244 and 68258 is 2329099476.

LCM(68244,68258) = 2329099476

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Least Common Multiple of 68244 and 68258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68244 and 68258, than apply into the LCM equation.

GCF(68244,68258) = 2
LCM(68244,68258) = ( 68244 × 68258) / 2
LCM(68244,68258) = 4658198952 / 2
LCM(68244,68258) = 2329099476

Least Common Multiple (LCM) of 68244 and 68258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68244 and 68258. First we will calculate the prime factors of 68244 and 68258.

Prime Factorization of 68244

Prime factors of 68244 are 2, 3, 11, 47. Prime factorization of 68244 in exponential form is:

68244 = 22 × 31 × 112 × 471

Prime Factorization of 68258

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

68258 = 21 × 341291

Now multiplying the highest exponent prime factors to calculate the LCM of 68244 and 68258.

LCM(68244,68258) = 22 × 31 × 112 × 471 × 341291
LCM(68244,68258) = 2329099476