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What is the Least Common Multiple of 68293 and 68301?

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 68293 and 68301 is 4664480193.

LCM(68293,68301) = 4664480193

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Least Common Multiple of 68293 and 68301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68293 and 68301, than apply into the LCM equation.

GCF(68293,68301) = 1
LCM(68293,68301) = ( 68293 × 68301) / 1
LCM(68293,68301) = 4664480193 / 1
LCM(68293,68301) = 4664480193

Least Common Multiple (LCM) of 68293 and 68301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68293 and 68301. First we will calculate the prime factors of 68293 and 68301.

Prime Factorization of 68293

Prime factors of 68293 are 31, 2203. Prime factorization of 68293 in exponential form is:

68293 = 311 × 22031

Prime Factorization of 68301

Prime factors of 68301 are 3, 7589. Prime factorization of 68301 in exponential form is:

68301 = 32 × 75891

Now multiplying the highest exponent prime factors to calculate the LCM of 68293 and 68301.

LCM(68293,68301) = 311 × 22031 × 32 × 75891
LCM(68293,68301) = 4664480193