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What is the Least Common Multiple of 68197 and 68205?

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 68197 and 68205 is 4651376385.

LCM(68197,68205) = 4651376385

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Least Common Multiple of 68197 and 68205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68197 and 68205, than apply into the LCM equation.

GCF(68197,68205) = 1
LCM(68197,68205) = ( 68197 × 68205) / 1
LCM(68197,68205) = 4651376385 / 1
LCM(68197,68205) = 4651376385

Least Common Multiple (LCM) of 68197 and 68205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68197 and 68205. First we will calculate the prime factors of 68197 and 68205.

Prime Factorization of 68197

Prime factors of 68197 are 47, 1451. Prime factorization of 68197 in exponential form is:

68197 = 471 × 14511

Prime Factorization of 68205

Prime factors of 68205 are 3, 5, 4547. Prime factorization of 68205 in exponential form is:

68205 = 31 × 51 × 45471

Now multiplying the highest exponent prime factors to calculate the LCM of 68197 and 68205.

LCM(68197,68205) = 471 × 14511 × 31 × 51 × 45471
LCM(68197,68205) = 4651376385