Least Common Multiple of 136 and 143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 136 and 143 the smallest integer that is 19448 that is divisible by both numbers.

Least Common Multiple (LCM) of 136 and 143 is 19448.

LCM(136,143) = 19448

LCM of 136 and 143

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

LCM of:
and

Least Common Multiple of 136 and 143

LCM of 136 and 143 is 19448

Least common multiple can be found by multiplying the highest exponent prime factors of 136 and 143. First we will calculate the prime factors of 136 and 143.

Prime Factorization of 136


2 136
2 68
2 34
17 17
1

Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:

136 = 23×171

Prime Factorization of 143


11 143
13 13
1

Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:

143 = 111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 136 and 143.

LCM(136,143) = 23×111×131×171
LCM(136,143) = 19448

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Least Common Multiple of 136 and 143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 143, than apply into the LCM equation.

GCF(136,143) = 1
LCM(136,143) = ( 136 × 143) / 1
LCM(136,143) = 19448 / 1
LCM(136,143) = 19448

Properties of LCM 136 and 143

(i) The LCM of 143 and 136 is associative

LCM of 136 and 143 = LCM of 143 and 136

Related Least Common Multiples of 136

Related Least Common Multiples of 143

Frequently Asked Questions on LCM of 136 and 143

1. What is the LCM of 136 and 143?

Answer: LCM of 136 and 143 is 19448.

2. What are the Factors of 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

3. What are the Factors of 143?

Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.

4. How to Find the LCM of 136 and 143?

Answer:

Least Common Multiple of 136 and 143 = 19448

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 143

143 = 11 x 13

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

LCM = 19448 = 2 x 2 x 2 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 136 and 143 is 19448.