Least Common Multiple of 6486 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 6486 and 6490 the smallest integer that is 21047070 that is divisible by both numbers.

Least Common Multiple (LCM) of 6486 and 6490 is 21047070.

LCM(6486,6490) = 21047070

LCM of 6486 and 6490

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

LCM of:
and

Least Common Multiple of 6486 and 6490

LCM of 6486 and 6490 is 21047070

Least common multiple can be found by multiplying the highest exponent prime factors of 6486 and 6490. First we will calculate the prime factors of 6486 and 6490.

Prime Factorization of 6486


2 6486
3 3243
23 1081
47 47
1

Prime factors of 6486 are 2, 3, 23,47. Prime factorization of 6486 in exponential form is:

6486 = 21×31×231×471

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 6486 and 6490.

LCM(6486,6490) = 21×31×51×111×231×471×591
LCM(6486,6490) = 21047070

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486

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 6486 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 6486 and 6490, than apply into the LCM equation.

GCF(6486,6490) = 2
LCM(6486,6490) = ( 6486 × 6490) / 2
LCM(6486,6490) = 42094140 / 2
LCM(6486,6490) = 21047070

Properties of LCM 6486 and 6490

(i) The LCM of 6490 and 6486 is associative

LCM of 6486 and 6490 = LCM of 6490 and 6486

Related Least Common Multiples of 6486

Related Least Common Multiples of 6490

Frequently Asked Questions on LCM of 6486 and 6490

1. What is the LCM of 6486 and 6490?

Answer: LCM of 6486 and 6490 is 21047070.

2. What are the Factors of 6486?

Answer: Factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486. There are 16 integers that are factors of 6486. The greatest factor of 6486 is 6486.

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 6486 and 6490?

Answer:

Least Common Multiple of 6486 and 6490 = 21047070

Step 1: Find the prime factorization of 6486

6486 = 2 x 3 x 23 x 47

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 = 21047070 = 2 x 3 x 5 x 11 x 23 x 47 x 59

Step 4: Therefore, the least common multiple of 6486 and 6490 is 21047070.