Least Common Multiple of 144 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 144 and 146 the smallest integer that is 10512 that is divisible by both numbers.

Least Common Multiple (LCM) of 144 and 146 is 10512.

LCM(144,146) = 10512

LCM of 144 and 146

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

LCM of:
and

Least Common Multiple of 144 and 146

LCM of 144 and 146 is 10512

Least common multiple can be found by multiplying the highest exponent prime factors of 144 and 146. First we will calculate the prime factors of 144 and 146.

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

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 144 and 146.

LCM(144,146) = 24×32×731
LCM(144,146) = 10512

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

Factors of 146

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

1, 2, 73, 146

Least Common Multiple of 144 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 144 and 146, than apply into the LCM equation.

GCF(144,146) = 2
LCM(144,146) = ( 144 × 146) / 2
LCM(144,146) = 21024 / 2
LCM(144,146) = 10512

Properties of LCM 144 and 146

(i) The LCM of 146 and 144 is associative

LCM of 144 and 146 = LCM of 146 and 144

Related Least Common Multiples of 144

Related Least Common Multiples of 146

Frequently Asked Questions on LCM of 144 and 146

1. What is the LCM of 144 and 146?

Answer: LCM of 144 and 146 is 10512.

2. 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.

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 144 and 146?

Answer:

Least Common Multiple of 144 and 146 = 10512

Step 1: Find the prime factorization of 144

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

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 = 10512 = 2 x 2 x 2 x 2 x 3 x 3 x 73

Step 4: Therefore, the least common multiple of 144 and 146 is 10512.