Least Common Multiple of 8123 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 8123 and 8127 the smallest integer that is 66015621 that is divisible by both numbers.

Least Common Multiple (LCM) of 8123 and 8127 is 66015621.

LCM(8123,8127) = 66015621

LCM of 8123 and 8127

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

LCM of:
and

Least Common Multiple of 8123 and 8127

LCM of 8123 and 8127 is 66015621

Least common multiple can be found by multiplying the highest exponent prime factors of 8123 and 8127. First we will calculate the prime factors of 8123 and 8127.

Prime Factorization of 8123


8123 8123
1

Prime factors of 8123 are 8123. Prime factorization of 8123 in exponential form is:

8123 = 81231

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 8123 and 8127.

LCM(8123,8127) = 33×71×431×81231
LCM(8123,8127) = 66015621

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1, 8123

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 8123 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 8123 and 8127, than apply into the LCM equation.

GCF(8123,8127) = 1
LCM(8123,8127) = ( 8123 × 8127) / 1
LCM(8123,8127) = 66015621 / 1
LCM(8123,8127) = 66015621

Properties of LCM 8123 and 8127

(i) The LCM of 8127 and 8123 is associative

LCM of 8123 and 8127 = LCM of 8127 and 8123

Related Least Common Multiples of 8123

Related Least Common Multiples of 8127

Frequently Asked Questions on LCM of 8123 and 8127

1. What is the LCM of 8123 and 8127?

Answer: LCM of 8123 and 8127 is 66015621.

2. What are the Factors of 8123?

Answer: Factors of 8123 are 1, 8123. There are 2 integers that are factors of 8123. The greatest factor of 8123 is 8123.

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 8123 and 8127?

Answer:

Least Common Multiple of 8123 and 8127 = 66015621

Step 1: Find the prime factorization of 8123

8123 = 8123

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 = 66015621 = 3 x 3 x 3 x 7 x 43 x 8123

Step 4: Therefore, the least common multiple of 8123 and 8127 is 66015621.