Least Common Multiple of 4139 and 4144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4139 and 4144 the smallest integer that is 17152016 that is divisible by both numbers.

Least Common Multiple (LCM) of 4139 and 4144 is 17152016.

LCM(4139,4144) = 17152016

LCM of 4139 and 4144

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

LCM of:
and

Least Common Multiple of 4139 and 4144

LCM of 4139 and 4144 is 17152016

Least common multiple can be found by multiplying the highest exponent prime factors of 4139 and 4144. First we will calculate the prime factors of 4139 and 4144.

Prime Factorization of 4139


4139 4139
1

Prime factors of 4139 are 4139. Prime factorization of 4139 in exponential form is:

4139 = 41391

Prime Factorization of 4144


2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 4144 are 2, 7,37. Prime factorization of 4144 in exponential form is:

4144 = 24×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4139 and 4144.

LCM(4139,4144) = 24×71×371×41391
LCM(4139,4144) = 17152016

Factors of 4139

List of positive integer factors of 4139 that divides 4139 without a remainder.

1, 4139

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144

Least Common Multiple of 4139 and 4144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4139 and 4144, than apply into the LCM equation.

GCF(4139,4144) = 1
LCM(4139,4144) = ( 4139 × 4144) / 1
LCM(4139,4144) = 17152016 / 1
LCM(4139,4144) = 17152016

Properties of LCM 4139 and 4144

(i) The LCM of 4144 and 4139 is associative

LCM of 4139 and 4144 = LCM of 4144 and 4139

Related Least Common Multiples of 4139

Related Least Common Multiples of 4144

Frequently Asked Questions on LCM of 4139 and 4144

1. What is the LCM of 4139 and 4144?

Answer: LCM of 4139 and 4144 is 17152016.

2. What are the Factors of 4139?

Answer: Factors of 4139 are 1, 4139. There are 2 integers that are factors of 4139. The greatest factor of 4139 is 4139.

3. What are the Factors of 4144?

Answer: Factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144. There are 20 integers that are factors of 4144. The greatest factor of 4144 is 4144.

4. How to Find the LCM of 4139 and 4144?

Answer:

Least Common Multiple of 4139 and 4144 = 17152016

Step 1: Find the prime factorization of 4139

4139 = 4139

Step 2: Find the prime factorization of 4144

4144 = 2 x 2 x 2 x 2 x 7 x 37

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

LCM = 17152016 = 2 x 2 x 2 x 2 x 7 x 37 x 4139

Step 4: Therefore, the least common multiple of 4139 and 4144 is 17152016.