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What is the Least Common Multiple of 68344 and 68351?

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 68344 and 68351 is 4671380744.

LCM(68344,68351) = 4671380744

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Least Common Multiple of 68344 and 68351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68344 and 68351, than apply into the LCM equation.

GCF(68344,68351) = 1
LCM(68344,68351) = ( 68344 × 68351) / 1
LCM(68344,68351) = 4671380744 / 1
LCM(68344,68351) = 4671380744

Least Common Multiple (LCM) of 68344 and 68351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68344 and 68351. First we will calculate the prime factors of 68344 and 68351.

Prime Factorization of 68344

Prime factors of 68344 are 2, 8543. Prime factorization of 68344 in exponential form is:

68344 = 23 × 85431

Prime Factorization of 68351

Prime factors of 68351 are 68351. Prime factorization of 68351 in exponential form is:

68351 = 683511

Now multiplying the highest exponent prime factors to calculate the LCM of 68344 and 68351.

LCM(68344,68351) = 23 × 85431 × 683511
LCM(68344,68351) = 4671380744