Least Common Multiple of 144 and 151

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 151 the smallest integer that is 21744 that is divisible by both numbers.

Least Common Multiple (LCM) of 144 and 151 is 21744.

LCM(144,151) = 21744

LCM of 144 and 151

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

LCM of:
and

Least Common Multiple of 144 and 151

LCM of 144 and 151 is 21744

Least common multiple can be found by multiplying the highest exponent prime factors of 144 and 151. First we will calculate the prime factors of 144 and 151.

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 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 144 and 151.

LCM(144,151) = 24×32×1511
LCM(144,151) = 21744

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 151

List of positive integer factors of 151 that divides 151 without a remainder.

1, 151

Least Common Multiple of 144 and 151 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 151, than apply into the LCM equation.

GCF(144,151) = 1
LCM(144,151) = ( 144 × 151) / 1
LCM(144,151) = 21744 / 1
LCM(144,151) = 21744

Properties of LCM 144 and 151

(i) The LCM of 151 and 144 is associative

LCM of 144 and 151 = LCM of 151 and 144

Related Least Common Multiples of 144

Related Least Common Multiples of 151

Frequently Asked Questions on LCM of 144 and 151

1. What is the LCM of 144 and 151?

Answer: LCM of 144 and 151 is 21744.

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 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

4. How to Find the LCM of 144 and 151?

Answer:

Least Common Multiple of 144 and 151 = 21744

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 151

151 = 151

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 21744 = 2 x 2 x 2 x 2 x 3 x 3 x 151

Step 4: Therefore, the least common multiple of 144 and 151 is 21744.