Least Common Multiple of 6491 and 6496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6491 and 6496 the smallest integer that is 42165536 that is divisible by both numbers.

Least Common Multiple (LCM) of 6491 and 6496 is 42165536.

LCM(6491,6496) = 42165536

LCM of 6491 and 6496

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

LCM of:
and

Least Common Multiple of 6491 and 6496

LCM of 6491 and 6496 is 42165536

Least common multiple can be found by multiplying the highest exponent prime factors of 6491 and 6496. First we will calculate the prime factors of 6491 and 6496.

Prime Factorization of 6491


6491 6491
1

Prime factors of 6491 are 6491. Prime factorization of 6491 in exponential form is:

6491 = 64911

Prime Factorization of 6496


2 6496
2 3248
2 1624
2 812
2 406
7 203
29 29
1

Prime factors of 6496 are 2, 7,29. Prime factorization of 6496 in exponential form is:

6496 = 25×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6491 and 6496.

LCM(6491,6496) = 25×71×291×64911
LCM(6491,6496) = 42165536

Factors of 6491

List of positive integer factors of 6491 that divides 6491 without a remainder.

1, 6491

Factors of 6496

List of positive integer factors of 6496 that divides 6496 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248, 6496

Least Common Multiple of 6491 and 6496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6491 and 6496, than apply into the LCM equation.

GCF(6491,6496) = 1
LCM(6491,6496) = ( 6491 × 6496) / 1
LCM(6491,6496) = 42165536 / 1
LCM(6491,6496) = 42165536

Properties of LCM 6491 and 6496

(i) The LCM of 6496 and 6491 is associative

LCM of 6491 and 6496 = LCM of 6496 and 6491

Related Least Common Multiples of 6491

Related Least Common Multiples of 6496

Frequently Asked Questions on LCM of 6491 and 6496

1. What is the LCM of 6491 and 6496?

Answer: LCM of 6491 and 6496 is 42165536.

2. What are the Factors of 6491?

Answer: Factors of 6491 are 1, 6491. There are 2 integers that are factors of 6491. The greatest factor of 6491 is 6491.

3. What are the Factors of 6496?

Answer: Factors of 6496 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248, 6496. There are 24 integers that are factors of 6496. The greatest factor of 6496 is 6496.

4. How to Find the LCM of 6491 and 6496?

Answer:

Least Common Multiple of 6491 and 6496 = 42165536

Step 1: Find the prime factorization of 6491

6491 = 6491

Step 2: Find the prime factorization of 6496

6496 = 2 x 2 x 2 x 2 x 2 x 7 x 29

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

LCM = 42165536 = 2 x 2 x 2 x 2 x 2 x 7 x 29 x 6491

Step 4: Therefore, the least common multiple of 6491 and 6496 is 42165536.