Least Common Multiple of 4136 and 4143

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 4143 the smallest integer that is 17135448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4136 and 4143 is 17135448.

LCM(4136,4143) = 17135448

LCM of 4136 and 4143

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

LCM of:
and

Least Common Multiple of 4136 and 4143

LCM of 4136 and 4143 is 17135448

Least common multiple can be found by multiplying the highest exponent prime factors of 4136 and 4143. First we will calculate the prime factors of 4136 and 4143.

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 4143


3 4143
1381 1381
1

Prime factors of 4143 are 3,1381. Prime factorization of 4143 in exponential form is:

4143 = 31×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 4136 and 4143.

LCM(4136,4143) = 23×31×111×471×13811
LCM(4136,4143) = 17135448

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 4143

List of positive integer factors of 4143 that divides 4143 without a remainder.

1, 3, 1381, 4143

Least Common Multiple of 4136 and 4143 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 4143, than apply into the LCM equation.

GCF(4136,4143) = 1
LCM(4136,4143) = ( 4136 × 4143) / 1
LCM(4136,4143) = 17135448 / 1
LCM(4136,4143) = 17135448

Properties of LCM 4136 and 4143

(i) The LCM of 4143 and 4136 is associative

LCM of 4136 and 4143 = LCM of 4143 and 4136

Related Least Common Multiples of 4136

Related Least Common Multiples of 4143

Frequently Asked Questions on LCM of 4136 and 4143

1. What is the LCM of 4136 and 4143?

Answer: LCM of 4136 and 4143 is 17135448.

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 4143?

Answer: Factors of 4143 are 1, 3, 1381, 4143. There are 4 integers that are factors of 4143. The greatest factor of 4143 is 4143.

4. How to Find the LCM of 4136 and 4143?

Answer:

Least Common Multiple of 4136 and 4143 = 17135448

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 4143

4143 = 3 x 1381

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

LCM = 17135448 = 2 x 2 x 2 x 3 x 11 x 47 x 1381

Step 4: Therefore, the least common multiple of 4136 and 4143 is 17135448.