Least Common Multiple of 10160 and 10165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10160 and 10165 the smallest integer that is 20655280 that is divisible by both numbers.

Least Common Multiple (LCM) of 10160 and 10165 is 20655280.

LCM(10160,10165) = 20655280

LCM of 10160 and 10165

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

LCM of:
and

Least Common Multiple of 10160 and 10165

LCM of 10160 and 10165 is 20655280

Least common multiple can be found by multiplying the highest exponent prime factors of 10160 and 10165. First we will calculate the prime factors of 10160 and 10165.

Prime Factorization of 10160


2 10160
2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 10160 are 2, 5,127. Prime factorization of 10160 in exponential form is:

10160 = 24×51×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10160 and 10165.

LCM(10160,10165) = 24×51×191×1071×1271
LCM(10160,10165) = 20655280

Factors of 10160

List of positive integer factors of 10160 that divides 10160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160

Factors of 10165

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

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

Least Common Multiple of 10160 and 10165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10160 and 10165, than apply into the LCM equation.

GCF(10160,10165) = 5
LCM(10160,10165) = ( 10160 × 10165) / 5
LCM(10160,10165) = 103276400 / 5
LCM(10160,10165) = 20655280

Properties of LCM 10160 and 10165

(i) The LCM of 10165 and 10160 is associative

LCM of 10160 and 10165 = LCM of 10165 and 10160

Related Least Common Multiples of 10160

Related Least Common Multiples of 10165

Frequently Asked Questions on LCM of 10160 and 10165

1. What is the LCM of 10160 and 10165?

Answer: LCM of 10160 and 10165 is 20655280.

2. What are the Factors of 10160?

Answer: Factors of 10160 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160. There are 20 integers that are factors of 10160. The greatest factor of 10160 is 10160.

3. 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.

4. How to Find the LCM of 10160 and 10165?

Answer:

Least Common Multiple of 10160 and 10165 = 20655280

Step 1: Find the prime factorization of 10160

10160 = 2 x 2 x 2 x 2 x 5 x 127

Step 2: Find the prime factorization of 10165

10165 = 5 x 19 x 107

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

LCM = 20655280 = 2 x 2 x 2 x 2 x 5 x 19 x 107 x 127

Step 4: Therefore, the least common multiple of 10160 and 10165 is 20655280.