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What is the Least Common Multiple of 68323 and 68340?

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 68340 is 274658460.

LCM(68323,68340) = 274658460

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Least Common Multiple of 68323 and 68340 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 68340, than apply into the LCM equation.

GCF(68323,68340) = 17
LCM(68323,68340) = ( 68323 × 68340) / 17
LCM(68323,68340) = 4669193820 / 17
LCM(68323,68340) = 274658460

Least Common Multiple (LCM) of 68323 and 68340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68323 and 68340. First we will calculate the prime factors of 68323 and 68340.

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 68340

Prime factors of 68340 are 2, 3, 5, 17, 67. Prime factorization of 68340 in exponential form is:

68340 = 22 × 31 × 51 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 68323 and 68340.

LCM(68323,68340) = 171 × 40191 × 22 × 31 × 51 × 671
LCM(68323,68340) = 274658460