Least Common Multiple of 4534 and 4540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4534 and 4540 the smallest integer that is 10292180 that is divisible by both numbers.

Least Common Multiple (LCM) of 4534 and 4540 is 10292180.

LCM(4534,4540) = 10292180

LCM of 4534 and 4540

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

LCM of:
and

Least Common Multiple of 4534 and 4540

LCM of 4534 and 4540 is 10292180

Least common multiple can be found by multiplying the highest exponent prime factors of 4534 and 4540. First we will calculate the prime factors of 4534 and 4540.

Prime Factorization of 4534


2 4534
2267 2267
1

Prime factors of 4534 are 2,2267. Prime factorization of 4534 in exponential form is:

4534 = 21×22671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4534 and 4540.

LCM(4534,4540) = 22×51×2271×22671
LCM(4534,4540) = 10292180

Factors of 4534

List of positive integer factors of 4534 that divides 4534 without a remainder.

1, 2, 2267, 4534

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

Least Common Multiple of 4534 and 4540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4534 and 4540, than apply into the LCM equation.

GCF(4534,4540) = 2
LCM(4534,4540) = ( 4534 × 4540) / 2
LCM(4534,4540) = 20584360 / 2
LCM(4534,4540) = 10292180

Properties of LCM 4534 and 4540

(i) The LCM of 4540 and 4534 is associative

LCM of 4534 and 4540 = LCM of 4540 and 4534

Related Least Common Multiples of 4534

Related Least Common Multiples of 4540

Frequently Asked Questions on LCM of 4534 and 4540

1. What is the LCM of 4534 and 4540?

Answer: LCM of 4534 and 4540 is 10292180.

2. What are the Factors of 4534?

Answer: Factors of 4534 are 1, 2, 2267, 4534. There are 4 integers that are factors of 4534. The greatest factor of 4534 is 4534.

3. 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.

4. How to Find the LCM of 4534 and 4540?

Answer:

Least Common Multiple of 4534 and 4540 = 10292180

Step 1: Find the prime factorization of 4534

4534 = 2 x 2267

Step 2: Find the prime factorization of 4540

4540 = 2 x 2 x 5 x 227

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

LCM = 10292180 = 2 x 2 x 5 x 227 x 2267

Step 4: Therefore, the least common multiple of 4534 and 4540 is 10292180.