Least Common Multiple of 9132 and 9136

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 9136 the smallest integer that is 20857488 that is divisible by both numbers.

Least Common Multiple (LCM) of 9132 and 9136 is 20857488.

LCM(9132,9136) = 20857488

LCM of 9132 and 9136

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

LCM of:
and

Least Common Multiple of 9132 and 9136

LCM of 9132 and 9136 is 20857488

Least common multiple can be found by multiplying the highest exponent prime factors of 9132 and 9136. First we will calculate the prime factors of 9132 and 9136.

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 9136


2 9136
2 4568
2 2284
2 1142
571 571
1

Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:

9136 = 24×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 9132 and 9136.

LCM(9132,9136) = 24×31×5711×7611
LCM(9132,9136) = 20857488

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 9136

List of positive integer factors of 9136 that divides 9136 without a remainder.

1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

Least Common Multiple of 9132 and 9136 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 9136, than apply into the LCM equation.

GCF(9132,9136) = 4
LCM(9132,9136) = ( 9132 × 9136) / 4
LCM(9132,9136) = 83429952 / 4
LCM(9132,9136) = 20857488

Properties of LCM 9132 and 9136

(i) The LCM of 9136 and 9132 is associative

LCM of 9132 and 9136 = LCM of 9136 and 9132

Related Least Common Multiples of 9132

Related Least Common Multiples of 9136

Frequently Asked Questions on LCM of 9132 and 9136

1. What is the LCM of 9132 and 9136?

Answer: LCM of 9132 and 9136 is 20857488.

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 9136?

Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.

4. How to Find the LCM of 9132 and 9136?

Answer:

Least Common Multiple of 9132 and 9136 = 20857488

Step 1: Find the prime factorization of 9132

9132 = 2 x 2 x 3 x 761

Step 2: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

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

LCM = 20857488 = 2 x 2 x 2 x 2 x 3 x 571 x 761

Step 4: Therefore, the least common multiple of 9132 and 9136 is 20857488.