Least Common Multiple of 4508 and 4513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4508 and 4513 the smallest integer that is 20344604 that is divisible by both numbers.

Least Common Multiple (LCM) of 4508 and 4513 is 20344604.

LCM(4508,4513) = 20344604

LCM of 4508 and 4513

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

LCM of:
and

Least Common Multiple of 4508 and 4513

LCM of 4508 and 4513 is 20344604

Least common multiple can be found by multiplying the highest exponent prime factors of 4508 and 4513. First we will calculate the prime factors of 4508 and 4513.

Prime Factorization of 4508


2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 4508 are 2, 7,23. Prime factorization of 4508 in exponential form is:

4508 = 22×72×231

Prime Factorization of 4513


4513 4513
1

Prime factors of 4513 are 4513. Prime factorization of 4513 in exponential form is:

4513 = 45131

Now multiplying the highest exponent prime factors to calculate the LCM of 4508 and 4513.

LCM(4508,4513) = 22×72×231×45131
LCM(4508,4513) = 20344604

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508

Factors of 4513

List of positive integer factors of 4513 that divides 4513 without a remainder.

1, 4513

Least Common Multiple of 4508 and 4513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4508 and 4513, than apply into the LCM equation.

GCF(4508,4513) = 1
LCM(4508,4513) = ( 4508 × 4513) / 1
LCM(4508,4513) = 20344604 / 1
LCM(4508,4513) = 20344604

Properties of LCM 4508 and 4513

(i) The LCM of 4513 and 4508 is associative

LCM of 4508 and 4513 = LCM of 4513 and 4508

Related Least Common Multiples of 4508

Related Least Common Multiples of 4513

Frequently Asked Questions on LCM of 4508 and 4513

1. What is the LCM of 4508 and 4513?

Answer: LCM of 4508 and 4513 is 20344604.

2. What are the Factors of 4508?

Answer: Factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508. There are 18 integers that are factors of 4508. The greatest factor of 4508 is 4508.

3. What are the Factors of 4513?

Answer: Factors of 4513 are 1, 4513. There are 2 integers that are factors of 4513. The greatest factor of 4513 is 4513.

4. How to Find the LCM of 4508 and 4513?

Answer:

Least Common Multiple of 4508 and 4513 = 20344604

Step 1: Find the prime factorization of 4508

4508 = 2 x 2 x 7 x 7 x 23

Step 2: Find the prime factorization of 4513

4513 = 4513

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

LCM = 20344604 = 2 x 2 x 7 x 7 x 23 x 4513

Step 4: Therefore, the least common multiple of 4508 and 4513 is 20344604.