Least Common Multiple of 143 and 146

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 146 the smallest integer that is 20878 that is divisible by both numbers.

Least Common Multiple (LCM) of 143 and 146 is 20878.

LCM(143,146) = 20878

LCM of 143 and 146

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

LCM of:
and

Least Common Multiple of 143 and 146

LCM of 143 and 146 is 20878

Least common multiple can be found by multiplying the highest exponent prime factors of 143 and 146. First we will calculate the prime factors of 143 and 146.

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 146


2 146
73 73
1

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 21×731

Now multiplying the highest exponent prime factors to calculate the LCM of 143 and 146.

LCM(143,146) = 21×111×131×731
LCM(143,146) = 20878

Factors of 143

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

1, 11, 13, 143

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Least Common Multiple of 143 and 146 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 146, than apply into the LCM equation.

GCF(143,146) = 1
LCM(143,146) = ( 143 × 146) / 1
LCM(143,146) = 20878 / 1
LCM(143,146) = 20878

Properties of LCM 143 and 146

(i) The LCM of 146 and 143 is associative

LCM of 143 and 146 = LCM of 146 and 143

Related Least Common Multiples of 143

Related Least Common Multiples of 146

Frequently Asked Questions on LCM of 143 and 146

1. What is the LCM of 143 and 146?

Answer: LCM of 143 and 146 is 20878.

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 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

4. How to Find the LCM of 143 and 146?

Answer:

Least Common Multiple of 143 and 146 = 20878

Step 1: Find the prime factorization of 143

143 = 11 x 13

Step 2: Find the prime factorization of 146

146 = 2 x 73

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

LCM = 20878 = 2 x 11 x 13 x 73

Step 4: Therefore, the least common multiple of 143 and 146 is 20878.