Least Common Multiple of 4503 and 4508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4503 and 4508 the smallest integer that is 20299524 that is divisible by both numbers.

Least Common Multiple (LCM) of 4503 and 4508 is 20299524.

LCM(4503,4508) = 20299524

LCM of 4503 and 4508

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

LCM of:
and

Least Common Multiple of 4503 and 4508

LCM of 4503 and 4508 is 20299524

Least common multiple can be found by multiplying the highest exponent prime factors of 4503 and 4508. First we will calculate the prime factors of 4503 and 4508.

Prime Factorization of 4503


3 4503
19 1501
79 79
1

Prime factors of 4503 are 3, 19,79. Prime factorization of 4503 in exponential form is:

4503 = 31×191×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4503 and 4508.

LCM(4503,4508) = 22×31×72×191×231×791
LCM(4503,4508) = 20299524

Factors of 4503

List of positive integer factors of 4503 that divides 4503 without a remainder.

1, 3, 19, 57, 79, 237, 1501, 4503

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

Least Common Multiple of 4503 and 4508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4503 and 4508, than apply into the LCM equation.

GCF(4503,4508) = 1
LCM(4503,4508) = ( 4503 × 4508) / 1
LCM(4503,4508) = 20299524 / 1
LCM(4503,4508) = 20299524

Properties of LCM 4503 and 4508

(i) The LCM of 4508 and 4503 is associative

LCM of 4503 and 4508 = LCM of 4508 and 4503

Related Least Common Multiples of 4503

Related Least Common Multiples of 4508

Frequently Asked Questions on LCM of 4503 and 4508

1. What is the LCM of 4503 and 4508?

Answer: LCM of 4503 and 4508 is 20299524.

2. What are the Factors of 4503?

Answer: Factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503. There are 8 integers that are factors of 4503. The greatest factor of 4503 is 4503.

3. 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.

4. How to Find the LCM of 4503 and 4508?

Answer:

Least Common Multiple of 4503 and 4508 = 20299524

Step 1: Find the prime factorization of 4503

4503 = 3 x 19 x 79

Step 2: Find the prime factorization of 4508

4508 = 2 x 2 x 7 x 7 x 23

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

LCM = 20299524 = 2 x 2 x 3 x 7 x 7 x 19 x 23 x 79

Step 4: Therefore, the least common multiple of 4503 and 4508 is 20299524.