Least Common Multiple of 8132 and 8140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8132 and 8140 the smallest integer that is 16548620 that is divisible by both numbers.

Least Common Multiple (LCM) of 8132 and 8140 is 16548620.

LCM(8132,8140) = 16548620

LCM of 8132 and 8140

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

LCM of:
and

Least Common Multiple of 8132 and 8140

LCM of 8132 and 8140 is 16548620

Least common multiple can be found by multiplying the highest exponent prime factors of 8132 and 8140. First we will calculate the prime factors of 8132 and 8140.

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

Prime Factorization of 8140


2 8140
2 4070
5 2035
11 407
37 37
1

Prime factors of 8140 are 2, 5, 11,37. Prime factorization of 8140 in exponential form is:

8140 = 22×51×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8132 and 8140.

LCM(8132,8140) = 22×51×111×191×371×1071
LCM(8132,8140) = 16548620

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

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140

Least Common Multiple of 8132 and 8140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8132 and 8140, than apply into the LCM equation.

GCF(8132,8140) = 4
LCM(8132,8140) = ( 8132 × 8140) / 4
LCM(8132,8140) = 66194480 / 4
LCM(8132,8140) = 16548620

Properties of LCM 8132 and 8140

(i) The LCM of 8140 and 8132 is associative

LCM of 8132 and 8140 = LCM of 8140 and 8132

Related Least Common Multiples of 8132

Related Least Common Multiples of 8140

Frequently Asked Questions on LCM of 8132 and 8140

1. What is the LCM of 8132 and 8140?

Answer: LCM of 8132 and 8140 is 16548620.

2. 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.

3. What are the Factors of 8140?

Answer: Factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140. There are 24 integers that are factors of 8140. The greatest factor of 8140 is 8140.

4. How to Find the LCM of 8132 and 8140?

Answer:

Least Common Multiple of 8132 and 8140 = 16548620

Step 1: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

Step 2: Find the prime factorization of 8140

8140 = 2 x 2 x 5 x 11 x 37

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

LCM = 16548620 = 2 x 2 x 5 x 11 x 19 x 37 x 107

Step 4: Therefore, the least common multiple of 8132 and 8140 is 16548620.