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What is the Least Common Multiple of 12068 and 12075?

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 12068 and 12075 is 20817300.

LCM(12068,12075) = 20817300

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Least Common Multiple of 12068 and 12075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12068 and 12075, than apply into the LCM equation.

GCF(12068,12075) = 7
LCM(12068,12075) = ( 12068 × 12075) / 7
LCM(12068,12075) = 145721100 / 7
LCM(12068,12075) = 20817300

Least Common Multiple (LCM) of 12068 and 12075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12068 and 12075. First we will calculate the prime factors of 12068 and 12075.

Prime Factorization of 12068

Prime factors of 12068 are 2, 7, 431. Prime factorization of 12068 in exponential form is:

12068 = 22 × 71 × 4311

Prime Factorization of 12075

Prime factors of 12075 are 3, 5, 7, 23. Prime factorization of 12075 in exponential form is:

12075 = 31 × 52 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 12068 and 12075.

LCM(12068,12075) = 22 × 71 × 4311 × 31 × 52 × 231
LCM(12068,12075) = 20817300