Least Common Multiple of 144 and 147

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 147 the smallest integer that is 7056 that is divisible by both numbers.

Least Common Multiple (LCM) of 144 and 147 is 7056.

LCM(144,147) = 7056

LCM of 144 and 147

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

LCM of:
and

Least Common Multiple of 144 and 147

LCM of 144 and 147 is 7056

Least common multiple can be found by multiplying the highest exponent prime factors of 144 and 147. First we will calculate the prime factors of 144 and 147.

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 147


3 147
7 49
7 7
1

Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:

147 = 31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 144 and 147.

LCM(144,147) = 24×32×72
LCM(144,147) = 7056

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 147

List of positive integer factors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Least Common Multiple of 144 and 147 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 147, than apply into the LCM equation.

GCF(144,147) = 3
LCM(144,147) = ( 144 × 147) / 3
LCM(144,147) = 21168 / 3
LCM(144,147) = 7056

Properties of LCM 144 and 147

(i) The LCM of 147 and 144 is associative

LCM of 144 and 147 = LCM of 147 and 144

Related Least Common Multiples of 144

Related Least Common Multiples of 147

Frequently Asked Questions on LCM of 144 and 147

1. What is the LCM of 144 and 147?

Answer: LCM of 144 and 147 is 7056.

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 147?

Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.

4. How to Find the LCM of 144 and 147?

Answer:

Least Common Multiple of 144 and 147 = 7056

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 147

147 = 3 x 7 x 7

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

LCM = 7056 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

Step 4: Therefore, the least common multiple of 144 and 147 is 7056.