Least Common Multiple of 9132 and 9140

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 9140 the smallest integer that is 20866620 that is divisible by both numbers.

Least Common Multiple (LCM) of 9132 and 9140 is 20866620.

LCM(9132,9140) = 20866620

LCM of 9132 and 9140

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

LCM of:
and

Least Common Multiple of 9132 and 9140

LCM of 9132 and 9140 is 20866620

Least common multiple can be found by multiplying the highest exponent prime factors of 9132 and 9140. First we will calculate the prime factors of 9132 and 9140.

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 9140


2 9140
2 4570
5 2285
457 457
1

Prime factors of 9140 are 2, 5,457. Prime factorization of 9140 in exponential form is:

9140 = 22×51×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 9132 and 9140.

LCM(9132,9140) = 22×31×51×4571×7611
LCM(9132,9140) = 20866620

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 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140

Least Common Multiple of 9132 and 9140 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 9140, than apply into the LCM equation.

GCF(9132,9140) = 4
LCM(9132,9140) = ( 9132 × 9140) / 4
LCM(9132,9140) = 83466480 / 4
LCM(9132,9140) = 20866620

Properties of LCM 9132 and 9140

(i) The LCM of 9140 and 9132 is associative

LCM of 9132 and 9140 = LCM of 9140 and 9132

Related Least Common Multiples of 9132

Related Least Common Multiples of 9140

Frequently Asked Questions on LCM of 9132 and 9140

1. What is the LCM of 9132 and 9140?

Answer: LCM of 9132 and 9140 is 20866620.

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 9140?

Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.

4. How to Find the LCM of 9132 and 9140?

Answer:

Least Common Multiple of 9132 and 9140 = 20866620

Step 1: Find the prime factorization of 9132

9132 = 2 x 2 x 3 x 761

Step 2: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

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

LCM = 20866620 = 2 x 2 x 3 x 5 x 457 x 761

Step 4: Therefore, the least common multiple of 9132 and 9140 is 20866620.