Least Common Multiple of 5171 and 5175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5171 and 5175 the smallest integer that is 26759925 that is divisible by both numbers.

Least Common Multiple (LCM) of 5171 and 5175 is 26759925.

LCM(5171,5175) = 26759925

LCM of 5171 and 5175

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

LCM of:
and

Least Common Multiple of 5171 and 5175

LCM of 5171 and 5175 is 26759925

Least common multiple can be found by multiplying the highest exponent prime factors of 5171 and 5175. First we will calculate the prime factors of 5171 and 5175.

Prime Factorization of 5171


5171 5171
1

Prime factors of 5171 are 5171. Prime factorization of 5171 in exponential form is:

5171 = 51711

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5171 and 5175.

LCM(5171,5175) = 32×52×231×51711
LCM(5171,5175) = 26759925

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1, 5171

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175

Least Common Multiple of 5171 and 5175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5171 and 5175, than apply into the LCM equation.

GCF(5171,5175) = 1
LCM(5171,5175) = ( 5171 × 5175) / 1
LCM(5171,5175) = 26759925 / 1
LCM(5171,5175) = 26759925

Properties of LCM 5171 and 5175

(i) The LCM of 5175 and 5171 is associative

LCM of 5171 and 5175 = LCM of 5175 and 5171

Related Least Common Multiples of 5171

Related Least Common Multiples of 5175

Frequently Asked Questions on LCM of 5171 and 5175

1. What is the LCM of 5171 and 5175?

Answer: LCM of 5171 and 5175 is 26759925.

2. What are the Factors of 5171?

Answer: Factors of 5171 are 1, 5171. There are 2 integers that are factors of 5171. The greatest factor of 5171 is 5171.

3. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

4. How to Find the LCM of 5171 and 5175?

Answer:

Least Common Multiple of 5171 and 5175 = 26759925

Step 1: Find the prime factorization of 5171

5171 = 5171

Step 2: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

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

LCM = 26759925 = 3 x 3 x 5 x 5 x 23 x 5171

Step 4: Therefore, the least common multiple of 5171 and 5175 is 26759925.