Least Common Multiple of 4490 and 4491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4490 and 4491 the smallest integer that is 20164590 that is divisible by both numbers.

Least Common Multiple (LCM) of 4490 and 4491 is 20164590.

LCM(4490,4491) = 20164590

LCM of 4490 and 4491

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

LCM of:
and

Least Common Multiple of 4490 and 4491

LCM of 4490 and 4491 is 20164590

Least common multiple can be found by multiplying the highest exponent prime factors of 4490 and 4491. First we will calculate the prime factors of 4490 and 4491.

Prime Factorization of 4490


2 4490
5 2245
449 449
1

Prime factors of 4490 are 2, 5,449. Prime factorization of 4490 in exponential form is:

4490 = 21×51×4491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4490 and 4491.

LCM(4490,4491) = 21×32×51×4491×4991
LCM(4490,4491) = 20164590

Factors of 4490

List of positive integer factors of 4490 that divides 4490 without a remainder.

1, 2, 5, 10, 449, 898, 2245, 4490

Factors of 4491

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

1, 3, 9, 499, 1497, 4491

Least Common Multiple of 4490 and 4491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4490 and 4491, than apply into the LCM equation.

GCF(4490,4491) = 1
LCM(4490,4491) = ( 4490 × 4491) / 1
LCM(4490,4491) = 20164590 / 1
LCM(4490,4491) = 20164590

Properties of LCM 4490 and 4491

(i) The LCM of 4491 and 4490 is associative

LCM of 4490 and 4491 = LCM of 4491 and 4490

Related Least Common Multiples of 4490

Related Least Common Multiples of 4491

Frequently Asked Questions on LCM of 4490 and 4491

1. What is the LCM of 4490 and 4491?

Answer: LCM of 4490 and 4491 is 20164590.

2. What are the Factors of 4490?

Answer: Factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490. There are 8 integers that are factors of 4490. The greatest factor of 4490 is 4490.

3. 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.

4. How to Find the LCM of 4490 and 4491?

Answer:

Least Common Multiple of 4490 and 4491 = 20164590

Step 1: Find the prime factorization of 4490

4490 = 2 x 5 x 449

Step 2: Find the prime factorization of 4491

4491 = 3 x 3 x 499

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

LCM = 20164590 = 2 x 3 x 3 x 5 x 449 x 499

Step 4: Therefore, the least common multiple of 4490 and 4491 is 20164590.