Least Common Multiple of 10180 and 10185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10180 and 10185 the smallest integer that is 20736660 that is divisible by both numbers.

Least Common Multiple (LCM) of 10180 and 10185 is 20736660.

LCM(10180,10185) = 20736660

LCM of 10180 and 10185

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

LCM of:
and

Least Common Multiple of 10180 and 10185

LCM of 10180 and 10185 is 20736660

Least common multiple can be found by multiplying the highest exponent prime factors of 10180 and 10185. First we will calculate the prime factors of 10180 and 10185.

Prime Factorization of 10180


2 10180
2 5090
5 2545
509 509
1

Prime factors of 10180 are 2, 5,509. Prime factorization of 10180 in exponential form is:

10180 = 22×51×5091

Prime Factorization of 10185


3 10185
5 3395
7 679
97 97
1

Prime factors of 10185 are 3, 5, 7,97. Prime factorization of 10185 in exponential form is:

10185 = 31×51×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 10180 and 10185.

LCM(10180,10185) = 22×31×51×71×971×5091
LCM(10180,10185) = 20736660

Factors of 10180

List of positive integer factors of 10180 that divides 10180 without a remainder.

1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180

Factors of 10185

List of positive integer factors of 10185 that divides 10185 without a remainder.

1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185

Least Common Multiple of 10180 and 10185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10180 and 10185, than apply into the LCM equation.

GCF(10180,10185) = 5
LCM(10180,10185) = ( 10180 × 10185) / 5
LCM(10180,10185) = 103683300 / 5
LCM(10180,10185) = 20736660

Properties of LCM 10180 and 10185

(i) The LCM of 10185 and 10180 is associative

LCM of 10180 and 10185 = LCM of 10185 and 10180

Related Least Common Multiples of 10180

Related Least Common Multiples of 10185

Frequently Asked Questions on LCM of 10180 and 10185

1. What is the LCM of 10180 and 10185?

Answer: LCM of 10180 and 10185 is 20736660.

2. What are the Factors of 10180?

Answer: Factors of 10180 are 1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180. There are 12 integers that are factors of 10180. The greatest factor of 10180 is 10180.

3. What are the Factors of 10185?

Answer: Factors of 10185 are 1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185. There are 16 integers that are factors of 10185. The greatest factor of 10185 is 10185.

4. How to Find the LCM of 10180 and 10185?

Answer:

Least Common Multiple of 10180 and 10185 = 20736660

Step 1: Find the prime factorization of 10180

10180 = 2 x 2 x 5 x 509

Step 2: Find the prime factorization of 10185

10185 = 3 x 5 x 7 x 97

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

LCM = 20736660 = 2 x 2 x 3 x 5 x 7 x 97 x 509

Step 4: Therefore, the least common multiple of 10180 and 10185 is 20736660.