Least Common Multiple of 9136 and 9141

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 9141 the smallest integer that is 83512176 that is divisible by both numbers.

Least Common Multiple (LCM) of 9136 and 9141 is 83512176.

LCM(9136,9141) = 83512176

LCM of 9136 and 9141

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

LCM of:
and

Least Common Multiple of 9136 and 9141

LCM of 9136 and 9141 is 83512176

Least common multiple can be found by multiplying the highest exponent prime factors of 9136 and 9141. First we will calculate the prime factors of 9136 and 9141.

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 9141


3 9141
11 3047
277 277
1

Prime factors of 9141 are 3, 11,277. Prime factorization of 9141 in exponential form is:

9141 = 31×111×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 9136 and 9141.

LCM(9136,9141) = 24×31×111×2771×5711
LCM(9136,9141) = 83512176

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 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1, 3, 11, 33, 277, 831, 3047, 9141

Least Common Multiple of 9136 and 9141 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 9141, than apply into the LCM equation.

GCF(9136,9141) = 1
LCM(9136,9141) = ( 9136 × 9141) / 1
LCM(9136,9141) = 83512176 / 1
LCM(9136,9141) = 83512176

Properties of LCM 9136 and 9141

(i) The LCM of 9141 and 9136 is associative

LCM of 9136 and 9141 = LCM of 9141 and 9136

Related Least Common Multiples of 9136

Related Least Common Multiples of 9141

Frequently Asked Questions on LCM of 9136 and 9141

1. What is the LCM of 9136 and 9141?

Answer: LCM of 9136 and 9141 is 83512176.

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 9141?

Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.

4. How to Find the LCM of 9136 and 9141?

Answer:

Least Common Multiple of 9136 and 9141 = 83512176

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 9141

9141 = 3 x 11 x 277

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

LCM = 83512176 = 2 x 2 x 2 x 2 x 3 x 11 x 277 x 571

Step 4: Therefore, the least common multiple of 9136 and 9141 is 83512176.