Least Common Multiple of 4498 and 4505

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 4505 the smallest integer that is 20263490 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4505 is 20263490.

LCM(4498,4505) = 20263490

LCM of 4498 and 4505

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

LCM of:
and

Least Common Multiple of 4498 and 4505

LCM of 4498 and 4505 is 20263490

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4505. First we will calculate the prime factors of 4498 and 4505.

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 4505


5 4505
17 901
53 53
1

Prime factors of 4505 are 5, 17,53. Prime factorization of 4505 in exponential form is:

4505 = 51×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4505.

LCM(4498,4505) = 21×51×131×171×531×1731
LCM(4498,4505) = 20263490

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 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1, 5, 17, 53, 85, 265, 901, 4505

Least Common Multiple of 4498 and 4505 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 4505, than apply into the LCM equation.

GCF(4498,4505) = 1
LCM(4498,4505) = ( 4498 × 4505) / 1
LCM(4498,4505) = 20263490 / 1
LCM(4498,4505) = 20263490

Properties of LCM 4498 and 4505

(i) The LCM of 4505 and 4498 is associative

LCM of 4498 and 4505 = LCM of 4505 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4505

Frequently Asked Questions on LCM of 4498 and 4505

1. What is the LCM of 4498 and 4505?

Answer: LCM of 4498 and 4505 is 20263490.

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 4505?

Answer: Factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505. There are 8 integers that are factors of 4505. The greatest factor of 4505 is 4505.

4. How to Find the LCM of 4498 and 4505?

Answer:

Least Common Multiple of 4498 and 4505 = 20263490

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4505

4505 = 5 x 17 x 53

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

LCM = 20263490 = 2 x 5 x 13 x 17 x 53 x 173

Step 4: Therefore, the least common multiple of 4498 and 4505 is 20263490.