Least Common Multiple of 6144 and 6147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6144 and 6147 the smallest integer that is 12589056 that is divisible by both numbers.

Least Common Multiple (LCM) of 6144 and 6147 is 12589056.

LCM(6144,6147) = 12589056

LCM of 6144 and 6147

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

LCM of:
and

Least Common Multiple of 6144 and 6147

LCM of 6144 and 6147 is 12589056

Least common multiple can be found by multiplying the highest exponent prime factors of 6144 and 6147. First we will calculate the prime factors of 6144 and 6147.

Prime Factorization of 6144


2 6144
2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 6144 are 2,3. Prime factorization of 6144 in exponential form is:

6144 = 211×31

Prime Factorization of 6147


3 6147
3 2049
683 683
1

Prime factors of 6147 are 3,683. Prime factorization of 6147 in exponential form is:

6147 = 32×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6144 and 6147.

LCM(6144,6147) = 211×32×6831
LCM(6144,6147) = 12589056

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144

Factors of 6147

List of positive integer factors of 6147 that divides 6147 without a remainder.

1, 3, 9, 683, 2049, 6147

Least Common Multiple of 6144 and 6147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6144 and 6147, than apply into the LCM equation.

GCF(6144,6147) = 3
LCM(6144,6147) = ( 6144 × 6147) / 3
LCM(6144,6147) = 37767168 / 3
LCM(6144,6147) = 12589056

Properties of LCM 6144 and 6147

(i) The LCM of 6147 and 6144 is associative

LCM of 6144 and 6147 = LCM of 6147 and 6144

Related Least Common Multiples of 6144

Related Least Common Multiples of 6147

Frequently Asked Questions on LCM of 6144 and 6147

1. What is the LCM of 6144 and 6147?

Answer: LCM of 6144 and 6147 is 12589056.

2. What are the Factors of 6144?

Answer: Factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144. There are 24 integers that are factors of 6144. The greatest factor of 6144 is 6144.

3. What are the Factors of 6147?

Answer: Factors of 6147 are 1, 3, 9, 683, 2049, 6147. There are 6 integers that are factors of 6147. The greatest factor of 6147 is 6147.

4. How to Find the LCM of 6144 and 6147?

Answer:

Least Common Multiple of 6144 and 6147 = 12589056

Step 1: Find the prime factorization of 6144

6144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 6147

6147 = 3 x 3 x 683

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

LCM = 12589056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 683

Step 4: Therefore, the least common multiple of 6144 and 6147 is 12589056.