Least Common Multiple of 10140 and 10145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10140 and 10145 the smallest integer that is 20574060 that is divisible by both numbers.

Least Common Multiple (LCM) of 10140 and 10145 is 20574060.

LCM(10140,10145) = 20574060

LCM of 10140 and 10145

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

LCM of:
and

Least Common Multiple of 10140 and 10145

LCM of 10140 and 10145 is 20574060

Least common multiple can be found by multiplying the highest exponent prime factors of 10140 and 10145. First we will calculate the prime factors of 10140 and 10145.

Prime Factorization of 10140


2 10140
2 5070
3 2535
5 845
13 169
13 13
1

Prime factors of 10140 are 2, 3, 5,13. Prime factorization of 10140 in exponential form is:

10140 = 22×31×51×132

Prime Factorization of 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 10140 and 10145.

LCM(10140,10145) = 22×31×51×132×20291
LCM(10140,10145) = 20574060

Factors of 10140

List of positive integer factors of 10140 that divides 10140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140

Factors of 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1, 5, 2029, 10145

Least Common Multiple of 10140 and 10145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10140 and 10145, than apply into the LCM equation.

GCF(10140,10145) = 5
LCM(10140,10145) = ( 10140 × 10145) / 5
LCM(10140,10145) = 102870300 / 5
LCM(10140,10145) = 20574060

Properties of LCM 10140 and 10145

(i) The LCM of 10145 and 10140 is associative

LCM of 10140 and 10145 = LCM of 10145 and 10140

Related Least Common Multiples of 10140

Related Least Common Multiples of 10145

Frequently Asked Questions on LCM of 10140 and 10145

1. What is the LCM of 10140 and 10145?

Answer: LCM of 10140 and 10145 is 20574060.

2. What are the Factors of 10140?

Answer: Factors of 10140 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140. There are 36 integers that are factors of 10140. The greatest factor of 10140 is 10140.

3. What are the Factors of 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

4. How to Find the LCM of 10140 and 10145?

Answer:

Least Common Multiple of 10140 and 10145 = 20574060

Step 1: Find the prime factorization of 10140

10140 = 2 x 2 x 3 x 5 x 13 x 13

Step 2: Find the prime factorization of 10145

10145 = 5 x 2029

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

LCM = 20574060 = 2 x 2 x 3 x 5 x 13 x 13 x 2029

Step 4: Therefore, the least common multiple of 10140 and 10145 is 20574060.