Least Common Multiple of 4484 and 4490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4484 and 4490 the smallest integer that is 10066580 that is divisible by both numbers.

Least Common Multiple (LCM) of 4484 and 4490 is 10066580.

LCM(4484,4490) = 10066580

LCM of 4484 and 4490

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

LCM of:
and

Least Common Multiple of 4484 and 4490

LCM of 4484 and 4490 is 10066580

Least common multiple can be found by multiplying the highest exponent prime factors of 4484 and 4490. First we will calculate the prime factors of 4484 and 4490.

Prime Factorization of 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2, 19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4484 and 4490.

LCM(4484,4490) = 22×51×191×591×4491
LCM(4484,4490) = 10066580

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484

Factors of 4490

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

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

Least Common Multiple of 4484 and 4490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4484 and 4490, than apply into the LCM equation.

GCF(4484,4490) = 2
LCM(4484,4490) = ( 4484 × 4490) / 2
LCM(4484,4490) = 20133160 / 2
LCM(4484,4490) = 10066580

Properties of LCM 4484 and 4490

(i) The LCM of 4490 and 4484 is associative

LCM of 4484 and 4490 = LCM of 4490 and 4484

Related Least Common Multiples of 4484

Related Least Common Multiples of 4490

Frequently Asked Questions on LCM of 4484 and 4490

1. What is the LCM of 4484 and 4490?

Answer: LCM of 4484 and 4490 is 10066580.

2. What are the Factors of 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

3. 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.

4. How to Find the LCM of 4484 and 4490?

Answer:

Least Common Multiple of 4484 and 4490 = 10066580

Step 1: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

Step 2: Find the prime factorization of 4490

4490 = 2 x 5 x 449

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

LCM = 10066580 = 2 x 2 x 5 x 19 x 59 x 449

Step 4: Therefore, the least common multiple of 4484 and 4490 is 10066580.