Least Common Multiple of 4491 and 4498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4491 and 4498 the smallest integer that is 20200518 that is divisible by both numbers.

Least Common Multiple (LCM) of 4491 and 4498 is 20200518.

LCM(4491,4498) = 20200518

LCM of 4491 and 4498

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

LCM of:
and

Least Common Multiple of 4491 and 4498

LCM of 4491 and 4498 is 20200518

Least common multiple can be found by multiplying the highest exponent prime factors of 4491 and 4498. First we will calculate the prime factors of 4491 and 4498.

Prime Factorization of 4491


3 4491
3 1497
499 499
1

Prime factors of 4491 are 3,499. Prime factorization of 4491 in exponential form is:

4491 = 32×4991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4491 and 4498.

LCM(4491,4498) = 21×32×131×1731×4991
LCM(4491,4498) = 20200518

Factors of 4491

List of positive integer factors of 4491 that divides 4491 without a remainder.

1, 3, 9, 499, 1497, 4491

Factors of 4498

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

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

Least Common Multiple of 4491 and 4498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4491 and 4498, than apply into the LCM equation.

GCF(4491,4498) = 1
LCM(4491,4498) = ( 4491 × 4498) / 1
LCM(4491,4498) = 20200518 / 1
LCM(4491,4498) = 20200518

Properties of LCM 4491 and 4498

(i) The LCM of 4498 and 4491 is associative

LCM of 4491 and 4498 = LCM of 4498 and 4491

Related Least Common Multiples of 4491

Related Least Common Multiples of 4498

Frequently Asked Questions on LCM of 4491 and 4498

1. What is the LCM of 4491 and 4498?

Answer: LCM of 4491 and 4498 is 20200518.

2. What are the Factors of 4491?

Answer: Factors of 4491 are 1, 3, 9, 499, 1497, 4491. There are 6 integers that are factors of 4491. The greatest factor of 4491 is 4491.

3. 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.

4. How to Find the LCM of 4491 and 4498?

Answer:

Least Common Multiple of 4491 and 4498 = 20200518

Step 1: Find the prime factorization of 4491

4491 = 3 x 3 x 499

Step 2: Find the prime factorization of 4498

4498 = 2 x 13 x 173

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

LCM = 20200518 = 2 x 3 x 3 x 13 x 173 x 499

Step 4: Therefore, the least common multiple of 4491 and 4498 is 20200518.