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What is the Least Common Multiple of 16075 and 16095?

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 16075 and 16095 is 51745425.

LCM(16075,16095) = 51745425

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Least Common Multiple of 16075 and 16095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16075 and 16095, than apply into the LCM equation.

GCF(16075,16095) = 5
LCM(16075,16095) = ( 16075 × 16095) / 5
LCM(16075,16095) = 258727125 / 5
LCM(16075,16095) = 51745425

Least Common Multiple (LCM) of 16075 and 16095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16075 and 16095. First we will calculate the prime factors of 16075 and 16095.

Prime Factorization of 16075

Prime factors of 16075 are 5, 643. Prime factorization of 16075 in exponential form is:

16075 = 52 × 6431

Prime Factorization of 16095

Prime factors of 16095 are 3, 5, 29, 37. Prime factorization of 16095 in exponential form is:

16095 = 31 × 51 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 16075 and 16095.

LCM(16075,16095) = 52 × 6431 × 31 × 291 × 371
LCM(16075,16095) = 51745425