Least Common Multiple of 9132 and 9139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9132 and 9139 the smallest integer that is 83457348 that is divisible by both numbers.

Least Common Multiple (LCM) of 9132 and 9139 is 83457348.

LCM(9132,9139) = 83457348

LCM of 9132 and 9139

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

LCM of:
and

Least Common Multiple of 9132 and 9139

LCM of 9132 and 9139 is 83457348

Least common multiple can be found by multiplying the highest exponent prime factors of 9132 and 9139. First we will calculate the prime factors of 9132 and 9139.

Prime Factorization of 9132


2 9132
2 4566
3 2283
761 761
1

Prime factors of 9132 are 2, 3,761. Prime factorization of 9132 in exponential form is:

9132 = 22×31×7611

Prime Factorization of 9139


13 9139
19 703
37 37
1

Prime factors of 9139 are 13, 19,37. Prime factorization of 9139 in exponential form is:

9139 = 131×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9132 and 9139.

LCM(9132,9139) = 22×31×131×191×371×7611
LCM(9132,9139) = 83457348

Factors of 9132

List of positive integer factors of 9132 that divides 9132 without a remainder.

1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132

Factors of 9139

List of positive integer factors of 9139 that divides 9139 without a remainder.

1, 13, 19, 37, 247, 481, 703, 9139

Least Common Multiple of 9132 and 9139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9132 and 9139, than apply into the LCM equation.

GCF(9132,9139) = 1
LCM(9132,9139) = ( 9132 × 9139) / 1
LCM(9132,9139) = 83457348 / 1
LCM(9132,9139) = 83457348

Properties of LCM 9132 and 9139

(i) The LCM of 9139 and 9132 is associative

LCM of 9132 and 9139 = LCM of 9139 and 9132

Related Least Common Multiples of 9132

Related Least Common Multiples of 9139

Frequently Asked Questions on LCM of 9132 and 9139

1. What is the LCM of 9132 and 9139?

Answer: LCM of 9132 and 9139 is 83457348.

2. What are the Factors of 9132?

Answer: Factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132. There are 12 integers that are factors of 9132. The greatest factor of 9132 is 9132.

3. What are the Factors of 9139?

Answer: Factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139. There are 8 integers that are factors of 9139. The greatest factor of 9139 is 9139.

4. How to Find the LCM of 9132 and 9139?

Answer:

Least Common Multiple of 9132 and 9139 = 83457348

Step 1: Find the prime factorization of 9132

9132 = 2 x 2 x 3 x 761

Step 2: Find the prime factorization of 9139

9139 = 13 x 19 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 = 83457348 = 2 x 2 x 3 x 13 x 19 x 37 x 761

Step 4: Therefore, the least common multiple of 9132 and 9139 is 83457348.