Least Common Multiple of 8127 and 8132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8127 and 8132 the smallest integer that is 66088764 that is divisible by both numbers.

Least Common Multiple (LCM) of 8127 and 8132 is 66088764.

LCM(8127,8132) = 66088764

LCM of 8127 and 8132

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

LCM of:
and

Least Common Multiple of 8127 and 8132

LCM of 8127 and 8132 is 66088764

Least common multiple can be found by multiplying the highest exponent prime factors of 8127 and 8132. First we will calculate the prime factors of 8127 and 8132.

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

Prime Factorization of 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2, 19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8127 and 8132.

LCM(8127,8132) = 22×33×71×191×431×1071
LCM(8127,8132) = 66088764

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

Factors of 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132

Least Common Multiple of 8127 and 8132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8127 and 8132, than apply into the LCM equation.

GCF(8127,8132) = 1
LCM(8127,8132) = ( 8127 × 8132) / 1
LCM(8127,8132) = 66088764 / 1
LCM(8127,8132) = 66088764

Properties of LCM 8127 and 8132

(i) The LCM of 8132 and 8127 is associative

LCM of 8127 and 8132 = LCM of 8132 and 8127

Related Least Common Multiples of 8127

Related Least Common Multiples of 8132

Frequently Asked Questions on LCM of 8127 and 8132

1. What is the LCM of 8127 and 8132?

Answer: LCM of 8127 and 8132 is 66088764.

2. 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.

3. What are the Factors of 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

4. How to Find the LCM of 8127 and 8132?

Answer:

Least Common Multiple of 8127 and 8132 = 66088764

Step 1: Find the prime factorization of 8127

8127 = 3 x 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

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

LCM = 66088764 = 2 x 2 x 3 x 3 x 3 x 7 x 19 x 43 x 107

Step 4: Therefore, the least common multiple of 8127 and 8132 is 66088764.