Least Common Multiple of 6501 and 6506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6501 and 6506 the smallest integer that is 42295506 that is divisible by both numbers.

Least Common Multiple (LCM) of 6501 and 6506 is 42295506.

LCM(6501,6506) = 42295506

LCM of 6501 and 6506

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

LCM of:
and

Least Common Multiple of 6501 and 6506

LCM of 6501 and 6506 is 42295506

Least common multiple can be found by multiplying the highest exponent prime factors of 6501 and 6506. First we will calculate the prime factors of 6501 and 6506.

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

Prime Factorization of 6506


2 6506
3253 3253
1

Prime factors of 6506 are 2,3253. Prime factorization of 6506 in exponential form is:

6506 = 21×32531

Now multiplying the highest exponent prime factors to calculate the LCM of 6501 and 6506.

LCM(6501,6506) = 21×31×111×1971×32531
LCM(6501,6506) = 42295506

Factors of 6501

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

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

Factors of 6506

List of positive integer factors of 6506 that divides 6506 without a remainder.

1, 2, 3253, 6506

Least Common Multiple of 6501 and 6506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6501 and 6506, than apply into the LCM equation.

GCF(6501,6506) = 1
LCM(6501,6506) = ( 6501 × 6506) / 1
LCM(6501,6506) = 42295506 / 1
LCM(6501,6506) = 42295506

Properties of LCM 6501 and 6506

(i) The LCM of 6506 and 6501 is associative

LCM of 6501 and 6506 = LCM of 6506 and 6501

Related Least Common Multiples of 6501

Related Least Common Multiples of 6506

Frequently Asked Questions on LCM of 6501 and 6506

1. What is the LCM of 6501 and 6506?

Answer: LCM of 6501 and 6506 is 42295506.

2. 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.

3. What are the Factors of 6506?

Answer: Factors of 6506 are 1, 2, 3253, 6506. There are 4 integers that are factors of 6506. The greatest factor of 6506 is 6506.

4. How to Find the LCM of 6501 and 6506?

Answer:

Least Common Multiple of 6501 and 6506 = 42295506

Step 1: Find the prime factorization of 6501

6501 = 3 x 11 x 197

Step 2: Find the prime factorization of 6506

6506 = 2 x 3253

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

LCM = 42295506 = 2 x 3 x 11 x 197 x 3253

Step 4: Therefore, the least common multiple of 6501 and 6506 is 42295506.