Least Common Multiple of 4536 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 4536 and 4540 the smallest integer that is 5148360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4536 and 4540 is 5148360.

LCM(4536,4540) = 5148360

LCM of 4536 and 4540

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

LCM of:
and

Least Common Multiple of 4536 and 4540

LCM of 4536 and 4540 is 5148360

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4540. First we will calculate the prime factors of 4536 and 4540.

Prime Factorization of 4536


2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 4536 are 2, 3,7. Prime factorization of 4536 in exponential form is:

4536 = 23×34×71

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 4536 and 4540.

LCM(4536,4540) = 23×34×51×71×2271
LCM(4536,4540) = 5148360

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536

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 4536 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 4536 and 4540, than apply into the LCM equation.

GCF(4536,4540) = 4
LCM(4536,4540) = ( 4536 × 4540) / 4
LCM(4536,4540) = 20593440 / 4
LCM(4536,4540) = 5148360

Properties of LCM 4536 and 4540

(i) The LCM of 4540 and 4536 is associative

LCM of 4536 and 4540 = LCM of 4540 and 4536

Related Least Common Multiples of 4536

Related Least Common Multiples of 4540

Frequently Asked Questions on LCM of 4536 and 4540

1. What is the LCM of 4536 and 4540?

Answer: LCM of 4536 and 4540 is 5148360.

2. What are the Factors of 4536?

Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.

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 4536 and 4540?

Answer:

Least Common Multiple of 4536 and 4540 = 5148360

Step 1: Find the prime factorization of 4536

4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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 = 5148360 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 227

Step 4: Therefore, the least common multiple of 4536 and 4540 is 5148360.