Least Common Multiple of 4498 and 4503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4498 and 4503 the smallest integer that is 20254494 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4503 is 20254494.

LCM(4498,4503) = 20254494

LCM of 4498 and 4503

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

LCM of:
and

Least Common Multiple of 4498 and 4503

LCM of 4498 and 4503 is 20254494

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4503. First we will calculate the prime factors of 4498 and 4503.

Prime Factorization of 4498


2 4498
13 2249
173 173
1

Prime factors of 4498 are 2, 13,173. Prime factorization of 4498 in exponential form is:

4498 = 21×131×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4503.

LCM(4498,4503) = 21×31×131×191×791×1731
LCM(4498,4503) = 20254494

Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1, 2, 13, 26, 173, 346, 2249, 4498

Factors of 4503

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

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

Least Common Multiple of 4498 and 4503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4498 and 4503, than apply into the LCM equation.

GCF(4498,4503) = 1
LCM(4498,4503) = ( 4498 × 4503) / 1
LCM(4498,4503) = 20254494 / 1
LCM(4498,4503) = 20254494

Properties of LCM 4498 and 4503

(i) The LCM of 4503 and 4498 is associative

LCM of 4498 and 4503 = LCM of 4503 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4503

Frequently Asked Questions on LCM of 4498 and 4503

1. What is the LCM of 4498 and 4503?

Answer: LCM of 4498 and 4503 is 20254494.

2. What are the Factors of 4498?

Answer: Factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498. There are 8 integers that are factors of 4498. The greatest factor of 4498 is 4498.

3. 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.

4. How to Find the LCM of 4498 and 4503?

Answer:

Least Common Multiple of 4498 and 4503 = 20254494

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4503

4503 = 3 x 19 x 79

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

LCM = 20254494 = 2 x 3 x 13 x 19 x 79 x 173

Step 4: Therefore, the least common multiple of 4498 and 4503 is 20254494.