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What is the Least Common Multiple of 68121 and 68133?

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 68121 and 68133 is 1547096031.

LCM(68121,68133) = 1547096031

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Least Common Multiple of 68121 and 68133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68121 and 68133, than apply into the LCM equation.

GCF(68121,68133) = 3
LCM(68121,68133) = ( 68121 × 68133) / 3
LCM(68121,68133) = 4641288093 / 3
LCM(68121,68133) = 1547096031

Least Common Multiple (LCM) of 68121 and 68133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68121 and 68133. First we will calculate the prime factors of 68121 and 68133.

Prime Factorization of 68121

Prime factors of 68121 are 3, 29. Prime factorization of 68121 in exponential form is:

68121 = 34 × 292

Prime Factorization of 68133

Prime factors of 68133 are 3, 13, 1747. Prime factorization of 68133 in exponential form is:

68133 = 31 × 131 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 68121 and 68133.

LCM(68121,68133) = 34 × 292 × 131 × 17471
LCM(68121,68133) = 1547096031