Least Common Multiple of 34169 and 34175

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 34169 and 34175 by Prime method
• Least Common Multiple of 34169 and 34175 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34169 and 34175. First we will calculate the prime factors of 34169 and 34175.

Prime Factorization of 34169

Prime factors of 34169 are 47,727. Prime factorization of 34169 in exponential form is:

34169 = 47¹×727¹

Prime Factorization of 34175

Prime factors of 34175 are 5,1367. Prime factorization of 34175 in exponential form is:

34175 = 5²×1367¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34169 and 34175.

LCM(34169,34175) = 5²×47¹×727¹×1367¹
LCM(34169,34175) = 1167725575

Factors of 34169

List of positive integer factors of 34169 that divides 34169 without a remainder.

1, 47, 727, 34169

Factors of 34175

List of positive integer factors of 34175 that divides 34175 without a remainder.

1, 5, 25, 1367, 6835, 34175

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34169 and 34175, than apply into the LCM equation.

GCF(34169,34175) = 1
LCM(34169,34175) = ( 34169 × 34175) / 1
LCM(34169,34175) = 1167725575 / 1
LCM(34169,34175) = 1167725575

(i) The LCM of 34175 and 34169 is associative

LCM of 34169 and 34175 = LCM of 34175 and 34169

1. What is the LCM of 34169 and 34175?

Answer: LCM of 34169 and 34175 is 1167725575.

2. What are the Factors of 34169?

Answer: Factors of 34169 are 1, 47, 727, 34169. There are 4 integers that are factors of 34169. The greatest factor of 34169 is 34169.

3. What are the Factors of 34175?

Answer: Factors of 34175 are 1, 5, 25, 1367, 6835, 34175. There are 6 integers that are factors of 34175. The greatest factor of 34175 is 34175.

4. How to Find the LCM of 34169 and 34175?

Answer:

Least Common Multiple of 34169 and 34175 = 1167725575

Step 1: Find the prime factorization of 34169

34169 = 47 x 727

Step 2: Find the prime factorization of 34175

34175 = 5 x 5 x 1367

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1167725575 = 5 x 5 x 47 x 727 x 1367

Step 4: Therefore, the least common multiple of 34169 and 34175 is 1167725575.