Least Common Multiple of 10165 and 10172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10165 and 10172 the smallest integer that is 103398380 that is divisible by both numbers.

Least Common Multiple (LCM) of 10165 and 10172 is 103398380.

LCM(10165,10172) = 103398380

LCM of 10165 and 10172

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

LCM of:
and

Least Common Multiple of 10165 and 10172

LCM of 10165 and 10172 is 103398380

Least common multiple can be found by multiplying the highest exponent prime factors of 10165 and 10172. First we will calculate the prime factors of 10165 and 10172.

Prime Factorization of 10165


5 10165
19 2033
107 107
1

Prime factors of 10165 are 5, 19,107. Prime factorization of 10165 in exponential form is:

10165 = 51×191×1071

Prime Factorization of 10172


2 10172
2 5086
2543 2543
1

Prime factors of 10172 are 2,2543. Prime factorization of 10172 in exponential form is:

10172 = 22×25431

Now multiplying the highest exponent prime factors to calculate the LCM of 10165 and 10172.

LCM(10165,10172) = 22×51×191×1071×25431
LCM(10165,10172) = 103398380

Factors of 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1, 5, 19, 95, 107, 535, 2033, 10165

Factors of 10172

List of positive integer factors of 10172 that divides 10172 without a remainder.

1, 2, 4, 2543, 5086, 10172

Least Common Multiple of 10165 and 10172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10165 and 10172, than apply into the LCM equation.

GCF(10165,10172) = 1
LCM(10165,10172) = ( 10165 × 10172) / 1
LCM(10165,10172) = 103398380 / 1
LCM(10165,10172) = 103398380

Properties of LCM 10165 and 10172

(i) The LCM of 10172 and 10165 is associative

LCM of 10165 and 10172 = LCM of 10172 and 10165

Related Least Common Multiples of 10165

Related Least Common Multiples of 10172

Frequently Asked Questions on LCM of 10165 and 10172

1. What is the LCM of 10165 and 10172?

Answer: LCM of 10165 and 10172 is 103398380.

2. What are the Factors of 10165?

Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.

3. What are the Factors of 10172?

Answer: Factors of 10172 are 1, 2, 4, 2543, 5086, 10172. There are 6 integers that are factors of 10172. The greatest factor of 10172 is 10172.

4. How to Find the LCM of 10165 and 10172?

Answer:

Least Common Multiple of 10165 and 10172 = 103398380

Step 1: Find the prime factorization of 10165

10165 = 5 x 19 x 107

Step 2: Find the prime factorization of 10172

10172 = 2 x 2 x 2543

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

LCM = 103398380 = 2 x 2 x 5 x 19 x 107 x 2543

Step 4: Therefore, the least common multiple of 10165 and 10172 is 103398380.