Least Common Multiple of 142 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 142 and 144 the smallest integer that is 10224 that is divisible by both numbers.

Least Common Multiple (LCM) of 142 and 144 is 10224.

LCM(142,144) = 10224

LCM of 142 and 144

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

LCM of:
and

Least Common Multiple of 142 and 144

LCM of 142 and 144 is 10224

Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 144. First we will calculate the prime factors of 142 and 144.

Prime Factorization of 142


2 142
71 71
1

Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:

142 = 21×711

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 142 and 144.

LCM(142,144) = 24×32×711
LCM(142,144) = 10224

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 142 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 142 and 144, than apply into the LCM equation.

GCF(142,144) = 2
LCM(142,144) = ( 142 × 144) / 2
LCM(142,144) = 20448 / 2
LCM(142,144) = 10224

Properties of LCM 142 and 144

(i) The LCM of 144 and 142 is associative

LCM of 142 and 144 = LCM of 144 and 142

Related Least Common Multiples of 142

Related Least Common Multiples of 144

Frequently Asked Questions on LCM of 142 and 144

1. What is the LCM of 142 and 144?

Answer: LCM of 142 and 144 is 10224.

2. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

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 142 and 144?

Answer:

Least Common Multiple of 142 and 144 = 10224

Step 1: Find the prime factorization of 142

142 = 2 x 71

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 = 10224 = 2 x 2 x 2 x 2 x 3 x 3 x 71

Step 4: Therefore, the least common multiple of 142 and 144 is 10224.