Least Common Multiple of 8144 and 8149

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 8149 the smallest integer that is 66365456 that is divisible by both numbers.

Least Common Multiple (LCM) of 8144 and 8149 is 66365456.

LCM(8144,8149) = 66365456

LCM of 8144 and 8149

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

LCM of:
and

Least Common Multiple of 8144 and 8149

LCM of 8144 and 8149 is 66365456

Least common multiple can be found by multiplying the highest exponent prime factors of 8144 and 8149. First we will calculate the prime factors of 8144 and 8149.

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 8149


29 8149
281 281
1

Prime factors of 8149 are 29,281. Prime factorization of 8149 in exponential form is:

8149 = 291×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8144 and 8149.

LCM(8144,8149) = 24×291×2811×5091
LCM(8144,8149) = 66365456

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 8149

List of positive integer factors of 8149 that divides 8149 without a remainder.

1, 29, 281, 8149

Least Common Multiple of 8144 and 8149 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 8149, than apply into the LCM equation.

GCF(8144,8149) = 1
LCM(8144,8149) = ( 8144 × 8149) / 1
LCM(8144,8149) = 66365456 / 1
LCM(8144,8149) = 66365456

Properties of LCM 8144 and 8149

(i) The LCM of 8149 and 8144 is associative

LCM of 8144 and 8149 = LCM of 8149 and 8144

Related Least Common Multiples of 8144

Related Least Common Multiples of 8149

Frequently Asked Questions on LCM of 8144 and 8149

1. What is the LCM of 8144 and 8149?

Answer: LCM of 8144 and 8149 is 66365456.

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 8149?

Answer: Factors of 8149 are 1, 29, 281, 8149. There are 4 integers that are factors of 8149. The greatest factor of 8149 is 8149.

4. How to Find the LCM of 8144 and 8149?

Answer:

Least Common Multiple of 8144 and 8149 = 66365456

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 8149

8149 = 29 x 281

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

LCM = 66365456 = 2 x 2 x 2 x 2 x 29 x 281 x 509

Step 4: Therefore, the least common multiple of 8144 and 8149 is 66365456.