Least Common Multiple of 5167 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 5167 and 5175 the smallest integer that is 26739225 that is divisible by both numbers.

Least Common Multiple (LCM) of 5167 and 5175 is 26739225.

LCM(5167,5175) = 26739225

LCM of 5167 and 5175

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

LCM of:
and

Least Common Multiple of 5167 and 5175

LCM of 5167 and 5175 is 26739225

Least common multiple can be found by multiplying the highest exponent prime factors of 5167 and 5175. First we will calculate the prime factors of 5167 and 5175.

Prime Factorization of 5167


5167 5167
1

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

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 5167 and 5175.

LCM(5167,5175) = 32×52×231×51671
LCM(5167,5175) = 26739225

Factors of 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1, 5167

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 5167 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 5167 and 5175, than apply into the LCM equation.

GCF(5167,5175) = 1
LCM(5167,5175) = ( 5167 × 5175) / 1
LCM(5167,5175) = 26739225 / 1
LCM(5167,5175) = 26739225

Properties of LCM 5167 and 5175

(i) The LCM of 5175 and 5167 is associative

LCM of 5167 and 5175 = LCM of 5175 and 5167

Related Least Common Multiples of 5167

Related Least Common Multiples of 5175

Frequently Asked Questions on LCM of 5167 and 5175

1. What is the LCM of 5167 and 5175?

Answer: LCM of 5167 and 5175 is 26739225.

2. What are the Factors of 5167?

Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.

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 5167 and 5175?

Answer:

Least Common Multiple of 5167 and 5175 = 26739225

Step 1: Find the prime factorization of 5167

5167 = 5167

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 = 26739225 = 3 x 3 x 5 x 5 x 23 x 5167

Step 4: Therefore, the least common multiple of 5167 and 5175 is 26739225.