Least Common Multiple of 10180 and 10188

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 10188 the smallest integer that is 25928460 that is divisible by both numbers.

Least Common Multiple (LCM) of 10180 and 10188 is 25928460.

LCM(10180,10188) = 25928460

LCM of 10180 and 10188

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

LCM of:
and

Least Common Multiple of 10180 and 10188

LCM of 10180 and 10188 is 25928460

Least common multiple can be found by multiplying the highest exponent prime factors of 10180 and 10188. First we will calculate the prime factors of 10180 and 10188.

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 10188


2 10188
2 5094
3 2547
3 849
283 283
1

Prime factors of 10188 are 2, 3,283. Prime factorization of 10188 in exponential form is:

10188 = 22×32×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 10180 and 10188.

LCM(10180,10188) = 22×32×51×2831×5091
LCM(10180,10188) = 25928460

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 10188

List of positive integer factors of 10188 that divides 10188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 10188

Least Common Multiple of 10180 and 10188 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 10188, than apply into the LCM equation.

GCF(10180,10188) = 4
LCM(10180,10188) = ( 10180 × 10188) / 4
LCM(10180,10188) = 103713840 / 4
LCM(10180,10188) = 25928460

Properties of LCM 10180 and 10188

(i) The LCM of 10188 and 10180 is associative

LCM of 10180 and 10188 = LCM of 10188 and 10180

Related Least Common Multiples of 10180

Related Least Common Multiples of 10188

Frequently Asked Questions on LCM of 10180 and 10188

1. What is the LCM of 10180 and 10188?

Answer: LCM of 10180 and 10188 is 25928460.

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 10188?

Answer: Factors of 10188 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 10188. There are 18 integers that are factors of 10188. The greatest factor of 10188 is 10188.

4. How to Find the LCM of 10180 and 10188?

Answer:

Least Common Multiple of 10180 and 10188 = 25928460

Step 1: Find the prime factorization of 10180

10180 = 2 x 2 x 5 x 509

Step 2: Find the prime factorization of 10188

10188 = 2 x 2 x 3 x 3 x 283

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

LCM = 25928460 = 2 x 2 x 3 x 3 x 5 x 283 x 509

Step 4: Therefore, the least common multiple of 10180 and 10188 is 25928460.