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What is the Least Common Multiple of 67845 and 67858?

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 67845 and 67858 is 4603826010.

LCM(67845,67858) = 4603826010

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Least Common Multiple of 67845 and 67858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67845 and 67858, than apply into the LCM equation.

GCF(67845,67858) = 1
LCM(67845,67858) = ( 67845 × 67858) / 1
LCM(67845,67858) = 4603826010 / 1
LCM(67845,67858) = 4603826010

Least Common Multiple (LCM) of 67845 and 67858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67845 and 67858. First we will calculate the prime factors of 67845 and 67858.

Prime Factorization of 67845

Prime factors of 67845 are 3, 5, 4523. Prime factorization of 67845 in exponential form is:

67845 = 31 × 51 × 45231

Prime Factorization of 67858

Prime factors of 67858 are 2, 7, 37, 131. Prime factorization of 67858 in exponential form is:

67858 = 21 × 71 × 371 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 67845 and 67858.

LCM(67845,67858) = 31 × 51 × 45231 × 21 × 71 × 371 × 1311
LCM(67845,67858) = 4603826010