Least Common Multiple of 10136 and 10143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10136 and 10143 the smallest integer that is 14687064 that is divisible by both numbers.

Least Common Multiple (LCM) of 10136 and 10143 is 14687064.

LCM(10136,10143) = 14687064

LCM of 10136 and 10143

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

LCM of:
and

Least Common Multiple of 10136 and 10143

LCM of 10136 and 10143 is 14687064

Least common multiple can be found by multiplying the highest exponent prime factors of 10136 and 10143. First we will calculate the prime factors of 10136 and 10143.

Prime Factorization of 10136


2 10136
2 5068
2 2534
7 1267
181 181
1

Prime factors of 10136 are 2, 7,181. Prime factorization of 10136 in exponential form is:

10136 = 23×71×1811

Prime Factorization of 10143


3 10143
3 3381
7 1127
7 161
23 23
1

Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:

10143 = 32×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 10136 and 10143.

LCM(10136,10143) = 23×32×72×231×1811
LCM(10136,10143) = 14687064

Factors of 10136

List of positive integer factors of 10136 that divides 10136 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136

Factors of 10143

List of positive integer factors of 10143 that divides 10143 without a remainder.

1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143

Least Common Multiple of 10136 and 10143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10136 and 10143, than apply into the LCM equation.

GCF(10136,10143) = 7
LCM(10136,10143) = ( 10136 × 10143) / 7
LCM(10136,10143) = 102809448 / 7
LCM(10136,10143) = 14687064

Properties of LCM 10136 and 10143

(i) The LCM of 10143 and 10136 is associative

LCM of 10136 and 10143 = LCM of 10143 and 10136

Related Least Common Multiples of 10136

Related Least Common Multiples of 10143

Frequently Asked Questions on LCM of 10136 and 10143

1. What is the LCM of 10136 and 10143?

Answer: LCM of 10136 and 10143 is 14687064.

2. What are the Factors of 10136?

Answer: Factors of 10136 are 1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136. There are 16 integers that are factors of 10136. The greatest factor of 10136 is 10136.

3. What are the Factors of 10143?

Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.

4. How to Find the LCM of 10136 and 10143?

Answer:

Least Common Multiple of 10136 and 10143 = 14687064

Step 1: Find the prime factorization of 10136

10136 = 2 x 2 x 2 x 7 x 181

Step 2: Find the prime factorization of 10143

10143 = 3 x 3 x 7 x 7 x 23

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

LCM = 14687064 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 23 x 181

Step 4: Therefore, the least common multiple of 10136 and 10143 is 14687064.