Least Common Multiple of 143 and 144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 143 and 144 the smallest integer that is 20592 that is divisible by both numbers.

Least Common Multiple (LCM) of 143 and 144 is 20592.

LCM(143,144) = 20592

LCM of 143 and 144

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

LCM of:
and

Least Common Multiple of 143 and 144

LCM of 143 and 144 is 20592

Least common multiple can be found by multiplying the highest exponent prime factors of 143 and 144. First we will calculate the prime factors of 143 and 144.

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

Prime Factorization of 144


2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:

144 = 24×32

Now multiplying the highest exponent prime factors to calculate the LCM of 143 and 144.

LCM(143,144) = 24×32×111×131
LCM(143,144) = 20592

Factors of 143

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

1, 11, 13, 143

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Least Common Multiple of 143 and 144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 143 and 144, than apply into the LCM equation.

GCF(143,144) = 1
LCM(143,144) = ( 143 × 144) / 1
LCM(143,144) = 20592 / 1
LCM(143,144) = 20592

Properties of LCM 143 and 144

(i) The LCM of 144 and 143 is associative

LCM of 143 and 144 = LCM of 144 and 143

Related Least Common Multiples of 143

Related Least Common Multiples of 144

Frequently Asked Questions on LCM of 143 and 144

1. What is the LCM of 143 and 144?

Answer: LCM of 143 and 144 is 20592.

2. 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.

3. What are the Factors of 144?

Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.

4. How to Find the LCM of 143 and 144?

Answer:

Least Common Multiple of 143 and 144 = 20592

Step 1: Find the prime factorization of 143

143 = 11 x 13

Step 2: Find the prime factorization of 144

144 = 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 20592 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 143 and 144 is 20592.