Least Common Multiple of 6484 and 6490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6484 and 6490 the smallest integer that is 21040580 that is divisible by both numbers.

Least Common Multiple (LCM) of 6484 and 6490 is 21040580.

LCM(6484,6490) = 21040580

LCM of 6484 and 6490

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

LCM of:
and

Least Common Multiple of 6484 and 6490

LCM of 6484 and 6490 is 21040580

Least common multiple can be found by multiplying the highest exponent prime factors of 6484 and 6490. First we will calculate the prime factors of 6484 and 6490.

Prime Factorization of 6484


2 6484
2 3242
1621 1621
1

Prime factors of 6484 are 2,1621. Prime factorization of 6484 in exponential form is:

6484 = 22×16211

Prime Factorization of 6490


2 6490
5 3245
11 649
59 59
1

Prime factors of 6490 are 2, 5, 11,59. Prime factorization of 6490 in exponential form is:

6490 = 21×51×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6484 and 6490.

LCM(6484,6490) = 22×51×111×591×16211
LCM(6484,6490) = 21040580

Factors of 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1, 2, 4, 1621, 3242, 6484

Factors of 6490

List of positive integer factors of 6490 that divides 6490 without a remainder.

1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490

Least Common Multiple of 6484 and 6490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6484 and 6490, than apply into the LCM equation.

GCF(6484,6490) = 2
LCM(6484,6490) = ( 6484 × 6490) / 2
LCM(6484,6490) = 42081160 / 2
LCM(6484,6490) = 21040580

Properties of LCM 6484 and 6490

(i) The LCM of 6490 and 6484 is associative

LCM of 6484 and 6490 = LCM of 6490 and 6484

Related Least Common Multiples of 6484

Related Least Common Multiples of 6490

Frequently Asked Questions on LCM of 6484 and 6490

1. What is the LCM of 6484 and 6490?

Answer: LCM of 6484 and 6490 is 21040580.

2. What are the Factors of 6484?

Answer: Factors of 6484 are 1, 2, 4, 1621, 3242, 6484. There are 6 integers that are factors of 6484. The greatest factor of 6484 is 6484.

3. What are the Factors of 6490?

Answer: Factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490. There are 16 integers that are factors of 6490. The greatest factor of 6490 is 6490.

4. How to Find the LCM of 6484 and 6490?

Answer:

Least Common Multiple of 6484 and 6490 = 21040580

Step 1: Find the prime factorization of 6484

6484 = 2 x 2 x 1621

Step 2: Find the prime factorization of 6490

6490 = 2 x 5 x 11 x 59

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

LCM = 21040580 = 2 x 2 x 5 x 11 x 59 x 1621

Step 4: Therefore, the least common multiple of 6484 and 6490 is 21040580.