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What is the Least Common Multiple of 68323 and 68333?

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 68323 and 68333 is 4668715559.

LCM(68323,68333) = 4668715559

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Least Common Multiple of 68323 and 68333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68323 and 68333, than apply into the LCM equation.

GCF(68323,68333) = 1
LCM(68323,68333) = ( 68323 × 68333) / 1
LCM(68323,68333) = 4668715559 / 1
LCM(68323,68333) = 4668715559

Least Common Multiple (LCM) of 68323 and 68333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68323 and 68333. First we will calculate the prime factors of 68323 and 68333.

Prime Factorization of 68323

Prime factors of 68323 are 17, 4019. Prime factorization of 68323 in exponential form is:

68323 = 171 × 40191

Prime Factorization of 68333

Prime factors of 68333 are 23, 2971. Prime factorization of 68333 in exponential form is:

68333 = 231 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 68323 and 68333.

LCM(68323,68333) = 171 × 40191 × 231 × 29711
LCM(68323,68333) = 4668715559