Least Common Multiple of 9140 and 9148

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 9148 the smallest integer that is 20903180 that is divisible by both numbers.

Least Common Multiple (LCM) of 9140 and 9148 is 20903180.

LCM(9140,9148) = 20903180

LCM of 9140 and 9148

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

LCM of:
and

Least Common Multiple of 9140 and 9148

LCM of 9140 and 9148 is 20903180

Least common multiple can be found by multiplying the highest exponent prime factors of 9140 and 9148. First we will calculate the prime factors of 9140 and 9148.

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 9148


2 9148
2 4574
2287 2287
1

Prime factors of 9148 are 2,2287. Prime factorization of 9148 in exponential form is:

9148 = 22×22871

Now multiplying the highest exponent prime factors to calculate the LCM of 9140 and 9148.

LCM(9140,9148) = 22×51×4571×22871
LCM(9140,9148) = 20903180

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 9148

List of positive integer factors of 9148 that divides 9148 without a remainder.

1, 2, 4, 2287, 4574, 9148

Least Common Multiple of 9140 and 9148 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 9148, than apply into the LCM equation.

GCF(9140,9148) = 4
LCM(9140,9148) = ( 9140 × 9148) / 4
LCM(9140,9148) = 83612720 / 4
LCM(9140,9148) = 20903180

Properties of LCM 9140 and 9148

(i) The LCM of 9148 and 9140 is associative

LCM of 9140 and 9148 = LCM of 9148 and 9140

Related Least Common Multiples of 9140

Related Least Common Multiples of 9148

Frequently Asked Questions on LCM of 9140 and 9148

1. What is the LCM of 9140 and 9148?

Answer: LCM of 9140 and 9148 is 20903180.

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 9148?

Answer: Factors of 9148 are 1, 2, 4, 2287, 4574, 9148. There are 6 integers that are factors of 9148. The greatest factor of 9148 is 9148.

4. How to Find the LCM of 9140 and 9148?

Answer:

Least Common Multiple of 9140 and 9148 = 20903180

Step 1: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

Step 2: Find the prime factorization of 9148

9148 = 2 x 2 x 2287

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

LCM = 20903180 = 2 x 2 x 5 x 457 x 2287

Step 4: Therefore, the least common multiple of 9140 and 9148 is 20903180.