Least Common Multiple of 144 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 144 and 148 the smallest integer that is 5328 that is divisible by both numbers.

Least Common Multiple (LCM) of 144 and 148 is 5328.

LCM(144,148) = 5328

LCM of 144 and 148

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

LCM of:
and

Least Common Multiple of 144 and 148

LCM of 144 and 148 is 5328

Least common multiple can be found by multiplying the highest exponent prime factors of 144 and 148. First we will calculate the prime factors of 144 and 148.

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 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 144 and 148.

LCM(144,148) = 24×32×371
LCM(144,148) = 5328

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 148

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

1, 2, 4, 37, 74, 148

Least Common Multiple of 144 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 144 and 148, than apply into the LCM equation.

GCF(144,148) = 4
LCM(144,148) = ( 144 × 148) / 4
LCM(144,148) = 21312 / 4
LCM(144,148) = 5328

Properties of LCM 144 and 148

(i) The LCM of 148 and 144 is associative

LCM of 144 and 148 = LCM of 148 and 144

Related Least Common Multiples of 144

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 144 and 148

1. What is the LCM of 144 and 148?

Answer: LCM of 144 and 148 is 5328.

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 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 144 and 148?

Answer:

Least Common Multiple of 144 and 148 = 5328

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 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 = 5328 = 2 x 2 x 2 x 2 x 3 x 3 x 37

Step 4: Therefore, the least common multiple of 144 and 148 is 5328.