Least Common Multiple of 4136 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 4136 and 4144 the smallest integer that is 2142448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4136 and 4144 is 2142448.

LCM(4136,4144) = 2142448

LCM of 4136 and 4144

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

LCM of:
and

Least Common Multiple of 4136 and 4144

LCM of 4136 and 4144 is 2142448

Least common multiple can be found by multiplying the highest exponent prime factors of 4136 and 4144. First we will calculate the prime factors of 4136 and 4144.

Prime Factorization of 4136


2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 4136 are 2, 11,47. Prime factorization of 4136 in exponential form is:

4136 = 23×111×471

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 4136 and 4144.

LCM(4136,4144) = 24×71×111×371×471
LCM(4136,4144) = 2142448

Factors of 4136

List of positive integer factors of 4136 that divides 4136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136

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 4136 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 4136 and 4144, than apply into the LCM equation.

GCF(4136,4144) = 8
LCM(4136,4144) = ( 4136 × 4144) / 8
LCM(4136,4144) = 17139584 / 8
LCM(4136,4144) = 2142448

Properties of LCM 4136 and 4144

(i) The LCM of 4144 and 4136 is associative

LCM of 4136 and 4144 = LCM of 4144 and 4136

Related Least Common Multiples of 4136

Related Least Common Multiples of 4144

Frequently Asked Questions on LCM of 4136 and 4144

1. What is the LCM of 4136 and 4144?

Answer: LCM of 4136 and 4144 is 2142448.

2. What are the Factors of 4136?

Answer: Factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136. There are 16 integers that are factors of 4136. The greatest factor of 4136 is 4136.

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 4136 and 4144?

Answer:

Least Common Multiple of 4136 and 4144 = 2142448

Step 1: Find the prime factorization of 4136

4136 = 2 x 2 x 2 x 11 x 47

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 = 2142448 = 2 x 2 x 2 x 2 x 7 x 11 x 37 x 47

Step 4: Therefore, the least common multiple of 4136 and 4144 is 2142448.