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What is the Least Common Multiple of 4175 and 4185?

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 4175 and 4185 is 3494475.

LCM(4175,4185) = 3494475

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Least Common Multiple of 4175 and 4185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4175 and 4185, than apply into the LCM equation.

GCF(4175,4185) = 5
LCM(4175,4185) = ( 4175 × 4185) / 5
LCM(4175,4185) = 17472375 / 5
LCM(4175,4185) = 3494475

Least Common Multiple (LCM) of 4175 and 4185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4175 and 4185. First we will calculate the prime factors of 4175 and 4185.

Prime Factorization of 4175

Prime factors of 4175 are 5, 167. Prime factorization of 4175 in exponential form is:

4175 = 52 × 1671

Prime Factorization of 4185

Prime factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 33 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4175 and 4185.

LCM(4175,4185) = 52 × 1671 × 33 × 311
LCM(4175,4185) = 3494475