Least Common Multiple of 6494 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 6494 and 6496 the smallest integer that is 21092512 that is divisible by both numbers.

Least Common Multiple (LCM) of 6494 and 6496 is 21092512.

LCM(6494,6496) = 21092512

LCM of 6494 and 6496

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

LCM of:
and

Least Common Multiple of 6494 and 6496

LCM of 6494 and 6496 is 21092512

Least common multiple can be found by multiplying the highest exponent prime factors of 6494 and 6496. First we will calculate the prime factors of 6494 and 6496.

Prime Factorization of 6494


2 6494
17 3247
191 191
1

Prime factors of 6494 are 2, 17,191. Prime factorization of 6494 in exponential form is:

6494 = 21×171×1911

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 6494 and 6496.

LCM(6494,6496) = 25×71×171×291×1911
LCM(6494,6496) = 21092512

Factors of 6494

List of positive integer factors of 6494 that divides 6494 without a remainder.

1, 2, 17, 34, 191, 382, 3247, 6494

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 6494 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 6494 and 6496, than apply into the LCM equation.

GCF(6494,6496) = 2
LCM(6494,6496) = ( 6494 × 6496) / 2
LCM(6494,6496) = 42185024 / 2
LCM(6494,6496) = 21092512

Properties of LCM 6494 and 6496

(i) The LCM of 6496 and 6494 is associative

LCM of 6494 and 6496 = LCM of 6496 and 6494

Related Least Common Multiples of 6494

Related Least Common Multiples of 6496

Frequently Asked Questions on LCM of 6494 and 6496

1. What is the LCM of 6494 and 6496?

Answer: LCM of 6494 and 6496 is 21092512.

2. What are the Factors of 6494?

Answer: Factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494. There are 8 integers that are factors of 6494. The greatest factor of 6494 is 6494.

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 6494 and 6496?

Answer:

Least Common Multiple of 6494 and 6496 = 21092512

Step 1: Find the prime factorization of 6494

6494 = 2 x 17 x 191

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 = 21092512 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 29 x 191

Step 4: Therefore, the least common multiple of 6494 and 6496 is 21092512.