Least Common Multiple of 6496 and 6501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6496 and 6501 the smallest integer that is 42230496 that is divisible by both numbers.

Least Common Multiple (LCM) of 6496 and 6501 is 42230496.

LCM(6496,6501) = 42230496

LCM of 6496 and 6501

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

LCM of:
and

Least Common Multiple of 6496 and 6501

LCM of 6496 and 6501 is 42230496

Least common multiple can be found by multiplying the highest exponent prime factors of 6496 and 6501. First we will calculate the prime factors of 6496 and 6501.

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

Prime Factorization of 6501


3 6501
11 2167
197 197
1

Prime factors of 6501 are 3, 11,197. Prime factorization of 6501 in exponential form is:

6501 = 31×111×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 6496 and 6501.

LCM(6496,6501) = 25×31×71×111×291×1971
LCM(6496,6501) = 42230496

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

Factors of 6501

List of positive integer factors of 6501 that divides 6501 without a remainder.

1, 3, 11, 33, 197, 591, 2167, 6501

Least Common Multiple of 6496 and 6501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6496 and 6501, than apply into the LCM equation.

GCF(6496,6501) = 1
LCM(6496,6501) = ( 6496 × 6501) / 1
LCM(6496,6501) = 42230496 / 1
LCM(6496,6501) = 42230496

Properties of LCM 6496 and 6501

(i) The LCM of 6501 and 6496 is associative

LCM of 6496 and 6501 = LCM of 6501 and 6496

Related Least Common Multiples of 6496

Related Least Common Multiples of 6501

Frequently Asked Questions on LCM of 6496 and 6501

1. What is the LCM of 6496 and 6501?

Answer: LCM of 6496 and 6501 is 42230496.

2. 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.

3. What are the Factors of 6501?

Answer: Factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501. There are 8 integers that are factors of 6501. The greatest factor of 6501 is 6501.

4. How to Find the LCM of 6496 and 6501?

Answer:

Least Common Multiple of 6496 and 6501 = 42230496

Step 1: Find the prime factorization of 6496

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

Step 2: Find the prime factorization of 6501

6501 = 3 x 11 x 197

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

LCM = 42230496 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 29 x 197

Step 4: Therefore, the least common multiple of 6496 and 6501 is 42230496.