Least Common Multiple of 8120 and 8127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8120 and 8127 the smallest integer that is 9427320 that is divisible by both numbers.

Least Common Multiple (LCM) of 8120 and 8127 is 9427320.

LCM(8120,8127) = 9427320

LCM of 8120 and 8127

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

LCM of:
and

Least Common Multiple of 8120 and 8127

LCM of 8120 and 8127 is 9427320

Least common multiple can be found by multiplying the highest exponent prime factors of 8120 and 8127. First we will calculate the prime factors of 8120 and 8127.

Prime Factorization of 8120


2 8120
2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 8120 are 2, 5, 7,29. Prime factorization of 8120 in exponential form is:

8120 = 23×51×71×291

Prime Factorization of 8127


3 8127
3 2709
3 903
7 301
43 43
1

Prime factors of 8127 are 3, 7,43. Prime factorization of 8127 in exponential form is:

8127 = 33×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8120 and 8127.

LCM(8120,8127) = 23×33×51×71×291×431
LCM(8120,8127) = 9427320

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120

Factors of 8127

List of positive integer factors of 8127 that divides 8127 without a remainder.

1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127

Least Common Multiple of 8120 and 8127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8120 and 8127, than apply into the LCM equation.

GCF(8120,8127) = 7
LCM(8120,8127) = ( 8120 × 8127) / 7
LCM(8120,8127) = 65991240 / 7
LCM(8120,8127) = 9427320

Properties of LCM 8120 and 8127

(i) The LCM of 8127 and 8120 is associative

LCM of 8120 and 8127 = LCM of 8127 and 8120

Related Least Common Multiples of 8120

Related Least Common Multiples of 8127

Frequently Asked Questions on LCM of 8120 and 8127

1. What is the LCM of 8120 and 8127?

Answer: LCM of 8120 and 8127 is 9427320.

2. What are the Factors of 8120?

Answer: Factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. There are 32 integers that are factors of 8120. The greatest factor of 8120 is 8120.

3. What are the Factors of 8127?

Answer: Factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127. There are 16 integers that are factors of 8127. The greatest factor of 8127 is 8127.

4. How to Find the LCM of 8120 and 8127?

Answer:

Least Common Multiple of 8120 and 8127 = 9427320

Step 1: Find the prime factorization of 8120

8120 = 2 x 2 x 2 x 5 x 7 x 29

Step 2: Find the prime factorization of 8127

8127 = 3 x 3 x 3 x 7 x 43

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

LCM = 9427320 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 29 x 43

Step 4: Therefore, the least common multiple of 8120 and 8127 is 9427320.