Least Common Multiple of 10136 and 10144

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 10144 the smallest integer that is 12852448 that is divisible by both numbers.

Least Common Multiple (LCM) of 10136 and 10144 is 12852448.

LCM(10136,10144) = 12852448

LCM of 10136 and 10144

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

LCM of:
and

Least Common Multiple of 10136 and 10144

LCM of 10136 and 10144 is 12852448

Least common multiple can be found by multiplying the highest exponent prime factors of 10136 and 10144. First we will calculate the prime factors of 10136 and 10144.

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 10144


2 10144
2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 10144 are 2,317. Prime factorization of 10144 in exponential form is:

10144 = 25×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 10136 and 10144.

LCM(10136,10144) = 25×71×1811×3171
LCM(10136,10144) = 12852448

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 10144

List of positive integer factors of 10144 that divides 10144 without a remainder.

1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144

Least Common Multiple of 10136 and 10144 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 10144, than apply into the LCM equation.

GCF(10136,10144) = 8
LCM(10136,10144) = ( 10136 × 10144) / 8
LCM(10136,10144) = 102819584 / 8
LCM(10136,10144) = 12852448

Properties of LCM 10136 and 10144

(i) The LCM of 10144 and 10136 is associative

LCM of 10136 and 10144 = LCM of 10144 and 10136

Related Least Common Multiples of 10136

Related Least Common Multiples of 10144

Frequently Asked Questions on LCM of 10136 and 10144

1. What is the LCM of 10136 and 10144?

Answer: LCM of 10136 and 10144 is 12852448.

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 10144?

Answer: Factors of 10144 are 1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144. There are 12 integers that are factors of 10144. The greatest factor of 10144 is 10144.

4. How to Find the LCM of 10136 and 10144?

Answer:

Least Common Multiple of 10136 and 10144 = 12852448

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 10144

10144 = 2 x 2 x 2 x 2 x 2 x 317

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

LCM = 12852448 = 2 x 2 x 2 x 2 x 2 x 7 x 181 x 317

Step 4: Therefore, the least common multiple of 10136 and 10144 is 12852448.