Least Common Multiple of 141 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 141 and 144 the smallest integer that is 6768 that is divisible by both numbers.

Least Common Multiple (LCM) of 141 and 144 is 6768.

LCM(141,144) = 6768

LCM of 141 and 144

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

LCM of:
and

Least Common Multiple of 141 and 144

LCM of 141 and 144 is 6768

Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 144. First we will calculate the prime factors of 141 and 144.

Prime Factorization of 141


3 141
47 47
1

Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:

141 = 31×471

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 141 and 144.

LCM(141,144) = 24×32×471
LCM(141,144) = 6768

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1, 3, 47, 141

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 141 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 141 and 144, than apply into the LCM equation.

GCF(141,144) = 3
LCM(141,144) = ( 141 × 144) / 3
LCM(141,144) = 20304 / 3
LCM(141,144) = 6768

Properties of LCM 141 and 144

(i) The LCM of 144 and 141 is associative

LCM of 141 and 144 = LCM of 144 and 141

Related Least Common Multiples of 141

Related Least Common Multiples of 144

Frequently Asked Questions on LCM of 141 and 144

1. What is the LCM of 141 and 144?

Answer: LCM of 141 and 144 is 6768.

2. What are the Factors of 141?

Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.

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 141 and 144?

Answer:

Least Common Multiple of 141 and 144 = 6768

Step 1: Find the prime factorization of 141

141 = 3 x 47

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 = 6768 = 2 x 2 x 2 x 2 x 3 x 3 x 47

Step 4: Therefore, the least common multiple of 141 and 144 is 6768.