Least Common Multiple of 5157 and 5165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5157 and 5165 the smallest integer that is 26635905 that is divisible by both numbers.

Least Common Multiple (LCM) of 5157 and 5165 is 26635905.

LCM(5157,5165) = 26635905

LCM of 5157 and 5165

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

LCM of:
and

Least Common Multiple of 5157 and 5165

LCM of 5157 and 5165 is 26635905

Least common multiple can be found by multiplying the highest exponent prime factors of 5157 and 5165. First we will calculate the prime factors of 5157 and 5165.

Prime Factorization of 5157


3 5157
3 1719
3 573
191 191
1

Prime factors of 5157 are 3,191. Prime factorization of 5157 in exponential form is:

5157 = 33×1911

Prime Factorization of 5165


5 5165
1033 1033
1

Prime factors of 5165 are 5,1033. Prime factorization of 5165 in exponential form is:

5165 = 51×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 5157 and 5165.

LCM(5157,5165) = 33×51×1911×10331
LCM(5157,5165) = 26635905

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1, 3, 9, 27, 191, 573, 1719, 5157

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1, 5, 1033, 5165

Least Common Multiple of 5157 and 5165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5157 and 5165, than apply into the LCM equation.

GCF(5157,5165) = 1
LCM(5157,5165) = ( 5157 × 5165) / 1
LCM(5157,5165) = 26635905 / 1
LCM(5157,5165) = 26635905

Properties of LCM 5157 and 5165

(i) The LCM of 5165 and 5157 is associative

LCM of 5157 and 5165 = LCM of 5165 and 5157

Related Least Common Multiples of 5157

Related Least Common Multiples of 5165

Frequently Asked Questions on LCM of 5157 and 5165

1. What is the LCM of 5157 and 5165?

Answer: LCM of 5157 and 5165 is 26635905.

2. What are the Factors of 5157?

Answer: Factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157. There are 8 integers that are factors of 5157. The greatest factor of 5157 is 5157.

3. What are the Factors of 5165?

Answer: Factors of 5165 are 1, 5, 1033, 5165. There are 4 integers that are factors of 5165. The greatest factor of 5165 is 5165.

4. How to Find the LCM of 5157 and 5165?

Answer:

Least Common Multiple of 5157 and 5165 = 26635905

Step 1: Find the prime factorization of 5157

5157 = 3 x 3 x 3 x 191

Step 2: Find the prime factorization of 5165

5165 = 5 x 1033

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

LCM = 26635905 = 3 x 3 x 3 x 5 x 191 x 1033

Step 4: Therefore, the least common multiple of 5157 and 5165 is 26635905.