Least Common Multiple of 9136 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 9136 and 9140 the smallest integer that is 20875760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9136 and 9140 is 20875760.

LCM(9136,9140) = 20875760

LCM of 9136 and 9140

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

LCM of:
and

Least Common Multiple of 9136 and 9140

LCM of 9136 and 9140 is 20875760

Least common multiple can be found by multiplying the highest exponent prime factors of 9136 and 9140. First we will calculate the prime factors of 9136 and 9140.

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

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 9136 and 9140.

LCM(9136,9140) = 24×51×4571×5711
LCM(9136,9140) = 20875760

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

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 9136 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 9136 and 9140, than apply into the LCM equation.

GCF(9136,9140) = 4
LCM(9136,9140) = ( 9136 × 9140) / 4
LCM(9136,9140) = 83503040 / 4
LCM(9136,9140) = 20875760

Properties of LCM 9136 and 9140

(i) The LCM of 9140 and 9136 is associative

LCM of 9136 and 9140 = LCM of 9140 and 9136

Related Least Common Multiples of 9136

Related Least Common Multiples of 9140

Frequently Asked Questions on LCM of 9136 and 9140

1. What is the LCM of 9136 and 9140?

Answer: LCM of 9136 and 9140 is 20875760.

2. 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.

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 9136 and 9140?

Answer:

Least Common Multiple of 9136 and 9140 = 20875760

Step 1: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

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 = 20875760 = 2 x 2 x 2 x 2 x 5 x 457 x 571

Step 4: Therefore, the least common multiple of 9136 and 9140 is 20875760.