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What is the Least Common Multiple of 68331 and 68339?

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 68331 and 68339 is 4669672209.

LCM(68331,68339) = 4669672209

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Least Common Multiple of 68331 and 68339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68331 and 68339, than apply into the LCM equation.

GCF(68331,68339) = 1
LCM(68331,68339) = ( 68331 × 68339) / 1
LCM(68331,68339) = 4669672209 / 1
LCM(68331,68339) = 4669672209

Least Common Multiple (LCM) of 68331 and 68339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68331 and 68339. First we will calculate the prime factors of 68331 and 68339.

Prime Factorization of 68331

Prime factors of 68331 are 3, 22777. Prime factorization of 68331 in exponential form is:

68331 = 31 × 227771

Prime Factorization of 68339

Prime factors of 68339 are 37, 1847. Prime factorization of 68339 in exponential form is:

68339 = 371 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 68331 and 68339.

LCM(68331,68339) = 31 × 227771 × 371 × 18471
LCM(68331,68339) = 4669672209