Least Common Multiple of 9140 and 9145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9140 and 9145 the smallest integer that is 16717060 that is divisible by both numbers.

Least Common Multiple (LCM) of 9140 and 9145 is 16717060.

LCM(9140,9145) = 16717060

LCM of 9140 and 9145

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

LCM of:
and

Least Common Multiple of 9140 and 9145

LCM of 9140 and 9145 is 16717060

Least common multiple can be found by multiplying the highest exponent prime factors of 9140 and 9145. First we will calculate the prime factors of 9140 and 9145.

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

Prime Factorization of 9145


5 9145
31 1829
59 59
1

Prime factors of 9145 are 5, 31,59. Prime factorization of 9145 in exponential form is:

9145 = 51×311×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9140 and 9145.

LCM(9140,9145) = 22×51×311×591×4571
LCM(9140,9145) = 16717060

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

Factors of 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1, 5, 31, 59, 155, 295, 1829, 9145

Least Common Multiple of 9140 and 9145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9140 and 9145, than apply into the LCM equation.

GCF(9140,9145) = 5
LCM(9140,9145) = ( 9140 × 9145) / 5
LCM(9140,9145) = 83585300 / 5
LCM(9140,9145) = 16717060

Properties of LCM 9140 and 9145

(i) The LCM of 9145 and 9140 is associative

LCM of 9140 and 9145 = LCM of 9145 and 9140

Related Least Common Multiples of 9140

Related Least Common Multiples of 9145

Frequently Asked Questions on LCM of 9140 and 9145

1. What is the LCM of 9140 and 9145?

Answer: LCM of 9140 and 9145 is 16717060.

2. 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.

3. What are the Factors of 9145?

Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.

4. How to Find the LCM of 9140 and 9145?

Answer:

Least Common Multiple of 9140 and 9145 = 16717060

Step 1: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

Step 2: Find the prime factorization of 9145

9145 = 5 x 31 x 59

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

LCM = 16717060 = 2 x 2 x 5 x 31 x 59 x 457

Step 4: Therefore, the least common multiple of 9140 and 9145 is 16717060.