Least Common Multiple of 9140 and 9147

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 9147 the smallest integer that is 83603580 that is divisible by both numbers.

Least Common Multiple (LCM) of 9140 and 9147 is 83603580.

LCM(9140,9147) = 83603580

LCM of 9140 and 9147

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

LCM of:
and

Least Common Multiple of 9140 and 9147

LCM of 9140 and 9147 is 83603580

Least common multiple can be found by multiplying the highest exponent prime factors of 9140 and 9147. First we will calculate the prime factors of 9140 and 9147.

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 9147


3 9147
3049 3049
1

Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:

9147 = 31×30491

Now multiplying the highest exponent prime factors to calculate the LCM of 9140 and 9147.

LCM(9140,9147) = 22×31×51×4571×30491
LCM(9140,9147) = 83603580

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 9147

List of positive integer factors of 9147 that divides 9147 without a remainder.

1, 3, 3049, 9147

Least Common Multiple of 9140 and 9147 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 9147, than apply into the LCM equation.

GCF(9140,9147) = 1
LCM(9140,9147) = ( 9140 × 9147) / 1
LCM(9140,9147) = 83603580 / 1
LCM(9140,9147) = 83603580

Properties of LCM 9140 and 9147

(i) The LCM of 9147 and 9140 is associative

LCM of 9140 and 9147 = LCM of 9147 and 9140

Related Least Common Multiples of 9140

Related Least Common Multiples of 9147

Frequently Asked Questions on LCM of 9140 and 9147

1. What is the LCM of 9140 and 9147?

Answer: LCM of 9140 and 9147 is 83603580.

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 9147?

Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.

4. How to Find the LCM of 9140 and 9147?

Answer:

Least Common Multiple of 9140 and 9147 = 83603580

Step 1: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

Step 2: Find the prime factorization of 9147

9147 = 3 x 3049

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

LCM = 83603580 = 2 x 2 x 3 x 5 x 457 x 3049

Step 4: Therefore, the least common multiple of 9140 and 9147 is 83603580.