Least Common Multiple of 6482 and 6488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6482 and 6488 the smallest integer that is 21027608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6482 and 6488 is 21027608.

LCM(6482,6488) = 21027608

LCM of 6482 and 6488

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

LCM of:
and

Least Common Multiple of 6482 and 6488

LCM of 6482 and 6488 is 21027608

Least common multiple can be found by multiplying the highest exponent prime factors of 6482 and 6488. First we will calculate the prime factors of 6482 and 6488.

Prime Factorization of 6482


2 6482
7 3241
463 463
1

Prime factors of 6482 are 2, 7,463. Prime factorization of 6482 in exponential form is:

6482 = 21×71×4631

Prime Factorization of 6488


2 6488
2 3244
2 1622
811 811
1

Prime factors of 6488 are 2,811. Prime factorization of 6488 in exponential form is:

6488 = 23×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 6482 and 6488.

LCM(6482,6488) = 23×71×4631×8111
LCM(6482,6488) = 21027608

Factors of 6482

List of positive integer factors of 6482 that divides 6482 without a remainder.

1, 2, 7, 14, 463, 926, 3241, 6482

Factors of 6488

List of positive integer factors of 6488 that divides 6488 without a remainder.

1, 2, 4, 8, 811, 1622, 3244, 6488

Least Common Multiple of 6482 and 6488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6482 and 6488, than apply into the LCM equation.

GCF(6482,6488) = 2
LCM(6482,6488) = ( 6482 × 6488) / 2
LCM(6482,6488) = 42055216 / 2
LCM(6482,6488) = 21027608

Properties of LCM 6482 and 6488

(i) The LCM of 6488 and 6482 is associative

LCM of 6482 and 6488 = LCM of 6488 and 6482

Related Least Common Multiples of 6482

Related Least Common Multiples of 6488

Frequently Asked Questions on LCM of 6482 and 6488

1. What is the LCM of 6482 and 6488?

Answer: LCM of 6482 and 6488 is 21027608.

2. What are the Factors of 6482?

Answer: Factors of 6482 are 1, 2, 7, 14, 463, 926, 3241, 6482. There are 8 integers that are factors of 6482. The greatest factor of 6482 is 6482.

3. What are the Factors of 6488?

Answer: Factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488. There are 8 integers that are factors of 6488. The greatest factor of 6488 is 6488.

4. How to Find the LCM of 6482 and 6488?

Answer:

Least Common Multiple of 6482 and 6488 = 21027608

Step 1: Find the prime factorization of 6482

6482 = 2 x 7 x 463

Step 2: Find the prime factorization of 6488

6488 = 2 x 2 x 2 x 811

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

LCM = 21027608 = 2 x 2 x 2 x 7 x 463 x 811

Step 4: Therefore, the least common multiple of 6482 and 6488 is 21027608.