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What is the Least Common Multiple of 68272 and 68290?

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 68272 and 68290 is 2331147440.

LCM(68272,68290) = 2331147440

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Least Common Multiple of 68272 and 68290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68272 and 68290, than apply into the LCM equation.

GCF(68272,68290) = 2
LCM(68272,68290) = ( 68272 × 68290) / 2
LCM(68272,68290) = 4662294880 / 2
LCM(68272,68290) = 2331147440

Least Common Multiple (LCM) of 68272 and 68290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68272 and 68290. First we will calculate the prime factors of 68272 and 68290.

Prime Factorization of 68272

Prime factors of 68272 are 2, 17, 251. Prime factorization of 68272 in exponential form is:

68272 = 24 × 171 × 2511

Prime Factorization of 68290

Prime factors of 68290 are 2, 5, 6829. Prime factorization of 68290 in exponential form is:

68290 = 21 × 51 × 68291

Now multiplying the highest exponent prime factors to calculate the LCM of 68272 and 68290.

LCM(68272,68290) = 24 × 171 × 2511 × 51 × 68291
LCM(68272,68290) = 2331147440