Least Common Multiple of 10141 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 10141 and 10145 the smallest integer that is 102880445 that is divisible by both numbers.

Least Common Multiple (LCM) of 10141 and 10145 is 102880445.

LCM(10141,10145) = 102880445

LCM of 10141 and 10145

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

LCM of:
and

Least Common Multiple of 10141 and 10145

LCM of 10141 and 10145 is 102880445

Least common multiple can be found by multiplying the highest exponent prime factors of 10141 and 10145. First we will calculate the prime factors of 10141 and 10145.

Prime Factorization of 10141


10141 10141
1

Prime factors of 10141 are 10141. Prime factorization of 10141 in exponential form is:

10141 = 101411

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 10141 and 10145.

LCM(10141,10145) = 51×20291×101411
LCM(10141,10145) = 102880445

Factors of 10141

List of positive integer factors of 10141 that divides 10141 without a remainder.

1, 10141

Factors of 10145

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

1, 5, 2029, 10145

Least Common Multiple of 10141 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 10141 and 10145, than apply into the LCM equation.

GCF(10141,10145) = 1
LCM(10141,10145) = ( 10141 × 10145) / 1
LCM(10141,10145) = 102880445 / 1
LCM(10141,10145) = 102880445

Properties of LCM 10141 and 10145

(i) The LCM of 10145 and 10141 is associative

LCM of 10141 and 10145 = LCM of 10145 and 10141

Related Least Common Multiples of 10141

Related Least Common Multiples of 10145

Frequently Asked Questions on LCM of 10141 and 10145

1. What is the LCM of 10141 and 10145?

Answer: LCM of 10141 and 10145 is 102880445.

2. What are the Factors of 10141?

Answer: Factors of 10141 are 1, 10141. There are 2 integers that are factors of 10141. The greatest factor of 10141 is 10141.

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 10141 and 10145?

Answer:

Least Common Multiple of 10141 and 10145 = 102880445

Step 1: Find the prime factorization of 10141

10141 = 10141

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 = 102880445 = 5 x 2029 x 10141

Step 4: Therefore, the least common multiple of 10141 and 10145 is 102880445.