Least Common Multiple of 9141 and 9149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9141 and 9149 the smallest integer that is 83631009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9141 and 9149 is 83631009.

LCM(9141,9149) = 83631009

LCM of 9141 and 9149

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

LCM of:
and

Least Common Multiple of 9141 and 9149

LCM of 9141 and 9149 is 83631009

Least common multiple can be found by multiplying the highest exponent prime factors of 9141 and 9149. First we will calculate the prime factors of 9141 and 9149.

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

Prime Factorization of 9149


7 9149
1307 1307
1

Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:

9149 = 71×13071

Now multiplying the highest exponent prime factors to calculate the LCM of 9141 and 9149.

LCM(9141,9149) = 31×71×111×2771×13071
LCM(9141,9149) = 83631009

Factors of 9141

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

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

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1, 7, 1307, 9149

Least Common Multiple of 9141 and 9149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9141 and 9149, than apply into the LCM equation.

GCF(9141,9149) = 1
LCM(9141,9149) = ( 9141 × 9149) / 1
LCM(9141,9149) = 83631009 / 1
LCM(9141,9149) = 83631009

Properties of LCM 9141 and 9149

(i) The LCM of 9149 and 9141 is associative

LCM of 9141 and 9149 = LCM of 9149 and 9141

Related Least Common Multiples of 9141

Related Least Common Multiples of 9149

Frequently Asked Questions on LCM of 9141 and 9149

1. What is the LCM of 9141 and 9149?

Answer: LCM of 9141 and 9149 is 83631009.

2. 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.

3. What are the Factors of 9149?

Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.

4. How to Find the LCM of 9141 and 9149?

Answer:

Least Common Multiple of 9141 and 9149 = 83631009

Step 1: Find the prime factorization of 9141

9141 = 3 x 11 x 277

Step 2: Find the prime factorization of 9149

9149 = 7 x 1307

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

LCM = 83631009 = 3 x 7 x 11 x 277 x 1307

Step 4: Therefore, the least common multiple of 9141 and 9149 is 83631009.