Least Common Multiple of 143 and 148

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 148 the smallest integer that is 21164 that is divisible by both numbers.

Least Common Multiple (LCM) of 143 and 148 is 21164.

LCM(143,148) = 21164

LCM of 143 and 148

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

LCM of:
and

Least Common Multiple of 143 and 148

LCM of 143 and 148 is 21164

Least common multiple can be found by multiplying the highest exponent prime factors of 143 and 148. First we will calculate the prime factors of 143 and 148.

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 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

Now multiplying the highest exponent prime factors to calculate the LCM of 143 and 148.

LCM(143,148) = 22×111×131×371
LCM(143,148) = 21164

Factors of 143

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

1, 11, 13, 143

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Least Common Multiple of 143 and 148 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 148, than apply into the LCM equation.

GCF(143,148) = 1
LCM(143,148) = ( 143 × 148) / 1
LCM(143,148) = 21164 / 1
LCM(143,148) = 21164

Properties of LCM 143 and 148

(i) The LCM of 148 and 143 is associative

LCM of 143 and 148 = LCM of 148 and 143

Related Least Common Multiples of 143

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 143 and 148

1. What is the LCM of 143 and 148?

Answer: LCM of 143 and 148 is 21164.

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 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

4. How to Find the LCM of 143 and 148?

Answer:

Least Common Multiple of 143 and 148 = 21164

Step 1: Find the prime factorization of 143

143 = 11 x 13

Step 2: Find the prime factorization of 148

148 = 2 x 2 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 = 21164 = 2 x 2 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 143 and 148 is 21164.