Least Common Multiple of 9142 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 9142 and 9149 the smallest integer that is 11948594 that is divisible by both numbers.

Least Common Multiple (LCM) of 9142 and 9149 is 11948594.

LCM(9142,9149) = 11948594

LCM of 9142 and 9149

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

LCM of:
and

Least Common Multiple of 9142 and 9149

LCM of 9142 and 9149 is 11948594

Least common multiple can be found by multiplying the highest exponent prime factors of 9142 and 9149. First we will calculate the prime factors of 9142 and 9149.

Prime Factorization of 9142


2 9142
7 4571
653 653
1

Prime factors of 9142 are 2, 7,653. Prime factorization of 9142 in exponential form is:

9142 = 21×71×6531

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 9142 and 9149.

LCM(9142,9149) = 21×71×6531×13071
LCM(9142,9149) = 11948594

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1, 2, 7, 14, 653, 1306, 4571, 9142

Factors of 9149

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

1, 7, 1307, 9149

Least Common Multiple of 9142 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 9142 and 9149, than apply into the LCM equation.

GCF(9142,9149) = 7
LCM(9142,9149) = ( 9142 × 9149) / 7
LCM(9142,9149) = 83640158 / 7
LCM(9142,9149) = 11948594

Properties of LCM 9142 and 9149

(i) The LCM of 9149 and 9142 is associative

LCM of 9142 and 9149 = LCM of 9149 and 9142

Related Least Common Multiples of 9142

Related Least Common Multiples of 9149

Frequently Asked Questions on LCM of 9142 and 9149

1. What is the LCM of 9142 and 9149?

Answer: LCM of 9142 and 9149 is 11948594.

2. What are the Factors of 9142?

Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.

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 9142 and 9149?

Answer:

Least Common Multiple of 9142 and 9149 = 11948594

Step 1: Find the prime factorization of 9142

9142 = 2 x 7 x 653

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 = 11948594 = 2 x 7 x 653 x 1307

Step 4: Therefore, the least common multiple of 9142 and 9149 is 11948594.