Least Common Multiple of 8144 and 8148

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 8148 the smallest integer that is 16589328 that is divisible by both numbers.

Least Common Multiple (LCM) of 8144 and 8148 is 16589328.

LCM(8144,8148) = 16589328

LCM of 8144 and 8148

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

LCM of:
and

Least Common Multiple of 8144 and 8148

LCM of 8144 and 8148 is 16589328

Least common multiple can be found by multiplying the highest exponent prime factors of 8144 and 8148. First we will calculate the prime factors of 8144 and 8148.

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 8148


2 8148
2 4074
3 2037
7 679
97 97
1

Prime factors of 8148 are 2, 3, 7,97. Prime factorization of 8148 in exponential form is:

8148 = 22×31×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8144 and 8148.

LCM(8144,8148) = 24×31×71×971×5091
LCM(8144,8148) = 16589328

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 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148

Least Common Multiple of 8144 and 8148 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 8148, than apply into the LCM equation.

GCF(8144,8148) = 4
LCM(8144,8148) = ( 8144 × 8148) / 4
LCM(8144,8148) = 66357312 / 4
LCM(8144,8148) = 16589328

Properties of LCM 8144 and 8148

(i) The LCM of 8148 and 8144 is associative

LCM of 8144 and 8148 = LCM of 8148 and 8144

Related Least Common Multiples of 8144

Related Least Common Multiples of 8148

Frequently Asked Questions on LCM of 8144 and 8148

1. What is the LCM of 8144 and 8148?

Answer: LCM of 8144 and 8148 is 16589328.

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 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

4. How to Find the LCM of 8144 and 8148?

Answer:

Least Common Multiple of 8144 and 8148 = 16589328

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 8148

8148 = 2 x 2 x 3 x 7 x 97

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

LCM = 16589328 = 2 x 2 x 2 x 2 x 3 x 7 x 97 x 509

Step 4: Therefore, the least common multiple of 8144 and 8148 is 16589328.