Least Common Multiple of 5165 and 5172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5165 and 5172 the smallest integer that is 26713380 that is divisible by both numbers.

Least Common Multiple (LCM) of 5165 and 5172 is 26713380.

LCM(5165,5172) = 26713380

LCM of 5165 and 5172

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

LCM of:
and

Least Common Multiple of 5165 and 5172

LCM of 5165 and 5172 is 26713380

Least common multiple can be found by multiplying the highest exponent prime factors of 5165 and 5172. First we will calculate the prime factors of 5165 and 5172.

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

Prime Factorization of 5172


2 5172
2 2586
3 1293
431 431
1

Prime factors of 5172 are 2, 3,431. Prime factorization of 5172 in exponential form is:

5172 = 22×31×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 5165 and 5172.

LCM(5165,5172) = 22×31×51×4311×10331
LCM(5165,5172) = 26713380

Factors of 5165

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

1, 5, 1033, 5165

Factors of 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172

Least Common Multiple of 5165 and 5172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5165 and 5172, than apply into the LCM equation.

GCF(5165,5172) = 1
LCM(5165,5172) = ( 5165 × 5172) / 1
LCM(5165,5172) = 26713380 / 1
LCM(5165,5172) = 26713380

Properties of LCM 5165 and 5172

(i) The LCM of 5172 and 5165 is associative

LCM of 5165 and 5172 = LCM of 5172 and 5165

Related Least Common Multiples of 5165

Related Least Common Multiples of 5172

Frequently Asked Questions on LCM of 5165 and 5172

1. What is the LCM of 5165 and 5172?

Answer: LCM of 5165 and 5172 is 26713380.

2. 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.

3. What are the Factors of 5172?

Answer: Factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172. There are 12 integers that are factors of 5172. The greatest factor of 5172 is 5172.

4. How to Find the LCM of 5165 and 5172?

Answer:

Least Common Multiple of 5165 and 5172 = 26713380

Step 1: Find the prime factorization of 5165

5165 = 5 x 1033

Step 2: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

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

LCM = 26713380 = 2 x 2 x 3 x 5 x 431 x 1033

Step 4: Therefore, the least common multiple of 5165 and 5172 is 26713380.