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What is the Least Common Multiple of 68293 and 68307?

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 68307 is 4664889951.

LCM(68293,68307) = 4664889951

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Least Common Multiple of 68293 and 68307 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 68307, than apply into the LCM equation.

GCF(68293,68307) = 1
LCM(68293,68307) = ( 68293 × 68307) / 1
LCM(68293,68307) = 4664889951 / 1
LCM(68293,68307) = 4664889951

Least Common Multiple (LCM) of 68293 and 68307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68293 and 68307. First we will calculate the prime factors of 68293 and 68307.

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 68307

Prime factors of 68307 are 3, 22769. Prime factorization of 68307 in exponential form is:

68307 = 31 × 227691

Now multiplying the highest exponent prime factors to calculate the LCM of 68293 and 68307.

LCM(68293,68307) = 311 × 22031 × 31 × 227691
LCM(68293,68307) = 4664889951