Least Common Multiple of 8144 and 8147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8144 and 8147 the smallest integer that is 66349168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8144 and 8147 is 66349168.

LCM(8144,8147) = 66349168

LCM of 8144 and 8147

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

LCM of:
and

Least Common Multiple of 8144 and 8147

LCM of 8144 and 8147 is 66349168

Least common multiple can be found by multiplying the highest exponent prime factors of 8144 and 8147. First we will calculate the prime factors of 8144 and 8147.

Prime Factorization of 8144


2 8144
2 4072
2 2036
2 1018
509 509
1

Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:

8144 = 24×5091

Prime Factorization of 8147


8147 8147
1

Prime factors of 8147 are 8147. Prime factorization of 8147 in exponential form is:

8147 = 81471

Now multiplying the highest exponent prime factors to calculate the LCM of 8144 and 8147.

LCM(8144,8147) = 24×5091×81471
LCM(8144,8147) = 66349168

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144

Factors of 8147

List of positive integer factors of 8147 that divides 8147 without a remainder.

1, 8147

Least Common Multiple of 8144 and 8147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8144 and 8147, than apply into the LCM equation.

GCF(8144,8147) = 1
LCM(8144,8147) = ( 8144 × 8147) / 1
LCM(8144,8147) = 66349168 / 1
LCM(8144,8147) = 66349168

Properties of LCM 8144 and 8147

(i) The LCM of 8147 and 8144 is associative

LCM of 8144 and 8147 = LCM of 8147 and 8144

Related Least Common Multiples of 8144

Related Least Common Multiples of 8147

Frequently Asked Questions on LCM of 8144 and 8147

1. What is the LCM of 8144 and 8147?

Answer: LCM of 8144 and 8147 is 66349168.

2. What are the Factors of 8144?

Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.

3. What are the Factors of 8147?

Answer: Factors of 8147 are 1, 8147. There are 2 integers that are factors of 8147. The greatest factor of 8147 is 8147.

4. How to Find the LCM of 8144 and 8147?

Answer:

Least Common Multiple of 8144 and 8147 = 66349168

Step 1: Find the prime factorization of 8144

8144 = 2 x 2 x 2 x 2 x 509

Step 2: Find the prime factorization of 8147

8147 = 8147

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

LCM = 66349168 = 2 x 2 x 2 x 2 x 509 x 8147

Step 4: Therefore, the least common multiple of 8144 and 8147 is 66349168.