Least Common Multiple of 4498 and 4504

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 4504 the smallest integer that is 10129496 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4504 is 10129496.

LCM(4498,4504) = 10129496

LCM of 4498 and 4504

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

LCM of:
and

Least Common Multiple of 4498 and 4504

LCM of 4498 and 4504 is 10129496

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4504. First we will calculate the prime factors of 4498 and 4504.

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 4504


2 4504
2 2252
2 1126
563 563
1

Prime factors of 4504 are 2,563. Prime factorization of 4504 in exponential form is:

4504 = 23×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4504.

LCM(4498,4504) = 23×131×1731×5631
LCM(4498,4504) = 10129496

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 4504

List of positive integer factors of 4504 that divides 4504 without a remainder.

1, 2, 4, 8, 563, 1126, 2252, 4504

Least Common Multiple of 4498 and 4504 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 4504, than apply into the LCM equation.

GCF(4498,4504) = 2
LCM(4498,4504) = ( 4498 × 4504) / 2
LCM(4498,4504) = 20258992 / 2
LCM(4498,4504) = 10129496

Properties of LCM 4498 and 4504

(i) The LCM of 4504 and 4498 is associative

LCM of 4498 and 4504 = LCM of 4504 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4504

Frequently Asked Questions on LCM of 4498 and 4504

1. What is the LCM of 4498 and 4504?

Answer: LCM of 4498 and 4504 is 10129496.

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 4504?

Answer: Factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504. There are 8 integers that are factors of 4504. The greatest factor of 4504 is 4504.

4. How to Find the LCM of 4498 and 4504?

Answer:

Least Common Multiple of 4498 and 4504 = 10129496

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4504

4504 = 2 x 2 x 2 x 563

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

LCM = 10129496 = 2 x 2 x 2 x 13 x 173 x 563

Step 4: Therefore, the least common multiple of 4498 and 4504 is 10129496.