Least Common Multiple of 10134 and 10141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10134 and 10141 the smallest integer that is 102768894 that is divisible by both numbers.

Least Common Multiple (LCM) of 10134 and 10141 is 102768894.

LCM(10134,10141) = 102768894

LCM of 10134 and 10141

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

LCM of:
and

Least Common Multiple of 10134 and 10141

LCM of 10134 and 10141 is 102768894

Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10141. First we will calculate the prime factors of 10134 and 10141.

Prime Factorization of 10134


2 10134
3 5067
3 1689
563 563
1

Prime factors of 10134 are 2, 3,563. Prime factorization of 10134 in exponential form is:

10134 = 21×32×5631

Prime Factorization of 10141


10141 10141
1

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

10141 = 101411

Now multiplying the highest exponent prime factors to calculate the LCM of 10134 and 10141.

LCM(10134,10141) = 21×32×5631×101411
LCM(10134,10141) = 102768894

Factors of 10134

List of positive integer factors of 10134 that divides 10134 without a remainder.

1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134

Factors of 10141

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

1, 10141

Least Common Multiple of 10134 and 10141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10134 and 10141, than apply into the LCM equation.

GCF(10134,10141) = 1
LCM(10134,10141) = ( 10134 × 10141) / 1
LCM(10134,10141) = 102768894 / 1
LCM(10134,10141) = 102768894

Properties of LCM 10134 and 10141

(i) The LCM of 10141 and 10134 is associative

LCM of 10134 and 10141 = LCM of 10141 and 10134

Related Least Common Multiples of 10134

Related Least Common Multiples of 10141

Frequently Asked Questions on LCM of 10134 and 10141

1. What is the LCM of 10134 and 10141?

Answer: LCM of 10134 and 10141 is 102768894.

2. What are the Factors of 10134?

Answer: Factors of 10134 are 1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134. There are 12 integers that are factors of 10134. The greatest factor of 10134 is 10134.

3. 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.

4. How to Find the LCM of 10134 and 10141?

Answer:

Least Common Multiple of 10134 and 10141 = 102768894

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

Step 2: Find the prime factorization of 10141

10141 = 10141

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

LCM = 102768894 = 2 x 3 x 3 x 563 x 10141

Step 4: Therefore, the least common multiple of 10134 and 10141 is 102768894.