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What is the Least Common Multiple of 68293 and 68304?

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 68304 is 4664685072.

LCM(68293,68304) = 4664685072

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Least Common Multiple of 68293 and 68304 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 68304, than apply into the LCM equation.

GCF(68293,68304) = 1
LCM(68293,68304) = ( 68293 × 68304) / 1
LCM(68293,68304) = 4664685072 / 1
LCM(68293,68304) = 4664685072

Least Common Multiple (LCM) of 68293 and 68304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68293 and 68304. First we will calculate the prime factors of 68293 and 68304.

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 68304

Prime factors of 68304 are 2, 3, 1423. Prime factorization of 68304 in exponential form is:

68304 = 24 × 31 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 68293 and 68304.

LCM(68293,68304) = 311 × 22031 × 24 × 31 × 14231
LCM(68293,68304) = 4664685072