Least Common Multiple of 3169 and 3175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3169 and 3175 the smallest integer that is 10061575 that is divisible by both numbers.

Least Common Multiple (LCM) of 3169 and 3175 is 10061575.

LCM(3169,3175) = 10061575

LCM of 3169 and 3175

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

LCM of:
and

Least Common Multiple of 3169 and 3175

LCM of 3169 and 3175 is 10061575

Least common multiple can be found by multiplying the highest exponent prime factors of 3169 and 3175. First we will calculate the prime factors of 3169 and 3175.

Prime Factorization of 3169


3169 3169
1

Prime factors of 3169 are 3169. Prime factorization of 3169 in exponential form is:

3169 = 31691

Prime Factorization of 3175


5 3175
5 635
127 127
1

Prime factors of 3175 are 5,127. Prime factorization of 3175 in exponential form is:

3175 = 52×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3169 and 3175.

LCM(3169,3175) = 52×1271×31691
LCM(3169,3175) = 10061575

Factors of 3169

List of positive integer factors of 3169 that divides 3169 without a remainder.

1, 3169

Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1, 5, 25, 127, 635, 3175

Least Common Multiple of 3169 and 3175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3169 and 3175, than apply into the LCM equation.

GCF(3169,3175) = 1
LCM(3169,3175) = ( 3169 × 3175) / 1
LCM(3169,3175) = 10061575 / 1
LCM(3169,3175) = 10061575

Properties of LCM 3169 and 3175

(i) The LCM of 3175 and 3169 is associative

LCM of 3169 and 3175 = LCM of 3175 and 3169

Related Least Common Multiples of 3169

Related Least Common Multiples of 3175

Frequently Asked Questions on LCM of 3169 and 3175

1. What is the LCM of 3169 and 3175?

Answer: LCM of 3169 and 3175 is 10061575.

2. What are the Factors of 3169?

Answer: Factors of 3169 are 1, 3169. There are 2 integers that are factors of 3169. The greatest factor of 3169 is 3169.

3. What are the Factors of 3175?

Answer: Factors of 3175 are 1, 5, 25, 127, 635, 3175. There are 6 integers that are factors of 3175. The greatest factor of 3175 is 3175.

4. How to Find the LCM of 3169 and 3175?

Answer:

Least Common Multiple of 3169 and 3175 = 10061575

Step 1: Find the prime factorization of 3169

3169 = 3169

Step 2: Find the prime factorization of 3175

3175 = 5 x 5 x 127

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

LCM = 10061575 = 5 x 5 x 127 x 3169

Step 4: Therefore, the least common multiple of 3169 and 3175 is 10061575.