Least Common Multiple of 4540 and 4548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4540 and 4548 the smallest integer that is 5161980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4540 and 4548 is 5161980.

LCM(4540,4548) = 5161980

LCM of 4540 and 4548

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

LCM of:
and

Least Common Multiple of 4540 and 4548

LCM of 4540 and 4548 is 5161980

Least common multiple can be found by multiplying the highest exponent prime factors of 4540 and 4548. First we will calculate the prime factors of 4540 and 4548.

Prime Factorization of 4540


2 4540
2 2270
5 1135
227 227
1

Prime factors of 4540 are 2, 5,227. Prime factorization of 4540 in exponential form is:

4540 = 22×51×2271

Prime Factorization of 4548


2 4548
2 2274
3 1137
379 379
1

Prime factors of 4548 are 2, 3,379. Prime factorization of 4548 in exponential form is:

4548 = 22×31×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 4540 and 4548.

LCM(4540,4548) = 22×31×51×2271×3791
LCM(4540,4548) = 5161980

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

Factors of 4548

List of positive integer factors of 4548 that divides 4548 without a remainder.

1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548

Least Common Multiple of 4540 and 4548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4540 and 4548, than apply into the LCM equation.

GCF(4540,4548) = 4
LCM(4540,4548) = ( 4540 × 4548) / 4
LCM(4540,4548) = 20647920 / 4
LCM(4540,4548) = 5161980

Properties of LCM 4540 and 4548

(i) The LCM of 4548 and 4540 is associative

LCM of 4540 and 4548 = LCM of 4548 and 4540

Related Least Common Multiples of 4540

Related Least Common Multiples of 4548

Frequently Asked Questions on LCM of 4540 and 4548

1. What is the LCM of 4540 and 4548?

Answer: LCM of 4540 and 4548 is 5161980.

2. What are the Factors of 4540?

Answer: Factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540. There are 12 integers that are factors of 4540. The greatest factor of 4540 is 4540.

3. What are the Factors of 4548?

Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.

4. How to Find the LCM of 4540 and 4548?

Answer:

Least Common Multiple of 4540 and 4548 = 5161980

Step 1: Find the prime factorization of 4540

4540 = 2 x 2 x 5 x 227

Step 2: Find the prime factorization of 4548

4548 = 2 x 2 x 3 x 379

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

LCM = 5161980 = 2 x 2 x 3 x 5 x 227 x 379

Step 4: Therefore, the least common multiple of 4540 and 4548 is 5161980.