Least Common Multiple of 4498 and 4499

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 4499 the smallest integer that is 20236502 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4499 is 20236502.

LCM(4498,4499) = 20236502

LCM of 4498 and 4499

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

LCM of:
and

Least Common Multiple of 4498 and 4499

LCM of 4498 and 4499 is 20236502

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4499. First we will calculate the prime factors of 4498 and 4499.

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 4499


11 4499
409 409
1

Prime factors of 4499 are 11,409. Prime factorization of 4499 in exponential form is:

4499 = 111×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4499.

LCM(4498,4499) = 21×111×131×1731×4091
LCM(4498,4499) = 20236502

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 4499

List of positive integer factors of 4499 that divides 4499 without a remainder.

1, 11, 409, 4499

Least Common Multiple of 4498 and 4499 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 4499, than apply into the LCM equation.

GCF(4498,4499) = 1
LCM(4498,4499) = ( 4498 × 4499) / 1
LCM(4498,4499) = 20236502 / 1
LCM(4498,4499) = 20236502

Properties of LCM 4498 and 4499

(i) The LCM of 4499 and 4498 is associative

LCM of 4498 and 4499 = LCM of 4499 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4499

Frequently Asked Questions on LCM of 4498 and 4499

1. What is the LCM of 4498 and 4499?

Answer: LCM of 4498 and 4499 is 20236502.

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 4499?

Answer: Factors of 4499 are 1, 11, 409, 4499. There are 4 integers that are factors of 4499. The greatest factor of 4499 is 4499.

4. How to Find the LCM of 4498 and 4499?

Answer:

Least Common Multiple of 4498 and 4499 = 20236502

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4499

4499 = 11 x 409

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

LCM = 20236502 = 2 x 11 x 13 x 173 x 409

Step 4: Therefore, the least common multiple of 4498 and 4499 is 20236502.