Least Common Multiple of 9136 and 9143

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 9143 the smallest integer that is 83530448 that is divisible by both numbers.

Least Common Multiple (LCM) of 9136 and 9143 is 83530448.

LCM(9136,9143) = 83530448

LCM of 9136 and 9143

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

LCM of:
and

Least Common Multiple of 9136 and 9143

LCM of 9136 and 9143 is 83530448

Least common multiple can be found by multiplying the highest exponent prime factors of 9136 and 9143. First we will calculate the prime factors of 9136 and 9143.

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 9143


41 9143
223 223
1

Prime factors of 9143 are 41,223. Prime factorization of 9143 in exponential form is:

9143 = 411×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 9136 and 9143.

LCM(9136,9143) = 24×411×2231×5711
LCM(9136,9143) = 83530448

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 9143

List of positive integer factors of 9143 that divides 9143 without a remainder.

1, 41, 223, 9143

Least Common Multiple of 9136 and 9143 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 9143, than apply into the LCM equation.

GCF(9136,9143) = 1
LCM(9136,9143) = ( 9136 × 9143) / 1
LCM(9136,9143) = 83530448 / 1
LCM(9136,9143) = 83530448

Properties of LCM 9136 and 9143

(i) The LCM of 9143 and 9136 is associative

LCM of 9136 and 9143 = LCM of 9143 and 9136

Related Least Common Multiples of 9136

Related Least Common Multiples of 9143

Frequently Asked Questions on LCM of 9136 and 9143

1. What is the LCM of 9136 and 9143?

Answer: LCM of 9136 and 9143 is 83530448.

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 9143?

Answer: Factors of 9143 are 1, 41, 223, 9143. There are 4 integers that are factors of 9143. The greatest factor of 9143 is 9143.

4. How to Find the LCM of 9136 and 9143?

Answer:

Least Common Multiple of 9136 and 9143 = 83530448

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 9143

9143 = 41 x 223

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

LCM = 83530448 = 2 x 2 x 2 x 2 x 41 x 223 x 571

Step 4: Therefore, the least common multiple of 9136 and 9143 is 83530448.