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What is the Least Common Multiple of 9068 and 9075?

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 9068 and 9075 is 82292100.

LCM(9068,9075) = 82292100

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Least Common Multiple of 9068 and 9075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9068 and 9075, than apply into the LCM equation.

GCF(9068,9075) = 1
LCM(9068,9075) = ( 9068 × 9075) / 1
LCM(9068,9075) = 82292100 / 1
LCM(9068,9075) = 82292100

Least Common Multiple (LCM) of 9068 and 9075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9068 and 9075. First we will calculate the prime factors of 9068 and 9075.

Prime Factorization of 9068

Prime factors of 9068 are 2, 2267. Prime factorization of 9068 in exponential form is:

9068 = 22 × 22671

Prime Factorization of 9075

Prime factors of 9075 are 3, 5, 11. Prime factorization of 9075 in exponential form is:

9075 = 31 × 52 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 9068 and 9075.

LCM(9068,9075) = 22 × 22671 × 31 × 52 × 112
LCM(9068,9075) = 82292100