Least Common Multiple of 10139 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 10139 and 10144 the smallest integer that is 102850016 that is divisible by both numbers.

Least Common Multiple (LCM) of 10139 and 10144 is 102850016.

LCM(10139,10144) = 102850016

LCM of 10139 and 10144

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

LCM of:
and

Least Common Multiple of 10139 and 10144

LCM of 10139 and 10144 is 102850016

Least common multiple can be found by multiplying the highest exponent prime factors of 10139 and 10144. First we will calculate the prime factors of 10139 and 10144.

Prime Factorization of 10139


10139 10139
1

Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:

10139 = 101391

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 10139 and 10144.

LCM(10139,10144) = 25×3171×101391
LCM(10139,10144) = 102850016

Factors of 10139

List of positive integer factors of 10139 that divides 10139 without a remainder.

1, 10139

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 10139 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 10139 and 10144, than apply into the LCM equation.

GCF(10139,10144) = 1
LCM(10139,10144) = ( 10139 × 10144) / 1
LCM(10139,10144) = 102850016 / 1
LCM(10139,10144) = 102850016

Properties of LCM 10139 and 10144

(i) The LCM of 10144 and 10139 is associative

LCM of 10139 and 10144 = LCM of 10144 and 10139

Related Least Common Multiples of 10139

Related Least Common Multiples of 10144

Frequently Asked Questions on LCM of 10139 and 10144

1. What is the LCM of 10139 and 10144?

Answer: LCM of 10139 and 10144 is 102850016.

2. What are the Factors of 10139?

Answer: Factors of 10139 are 1, 10139. There are 2 integers that are factors of 10139. The greatest factor of 10139 is 10139.

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 10139 and 10144?

Answer:

Least Common Multiple of 10139 and 10144 = 102850016

Step 1: Find the prime factorization of 10139

10139 = 10139

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 = 102850016 = 2 x 2 x 2 x 2 x 2 x 317 x 10139

Step 4: Therefore, the least common multiple of 10139 and 10144 is 102850016.