Least Common Multiple of 6501 and 6507

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 6507 the smallest integer that is 14100669 that is divisible by both numbers.

Least Common Multiple (LCM) of 6501 and 6507 is 14100669.

LCM(6501,6507) = 14100669

LCM of 6501 and 6507

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

LCM of:
and

Least Common Multiple of 6501 and 6507

LCM of 6501 and 6507 is 14100669

Least common multiple can be found by multiplying the highest exponent prime factors of 6501 and 6507. First we will calculate the prime factors of 6501 and 6507.

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 6507


3 6507
3 2169
3 723
241 241
1

Prime factors of 6507 are 3,241. Prime factorization of 6507 in exponential form is:

6507 = 33×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6501 and 6507.

LCM(6501,6507) = 33×111×1971×2411
LCM(6501,6507) = 14100669

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 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1, 3, 9, 27, 241, 723, 2169, 6507

Least Common Multiple of 6501 and 6507 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 6507, than apply into the LCM equation.

GCF(6501,6507) = 3
LCM(6501,6507) = ( 6501 × 6507) / 3
LCM(6501,6507) = 42302007 / 3
LCM(6501,6507) = 14100669

Properties of LCM 6501 and 6507

(i) The LCM of 6507 and 6501 is associative

LCM of 6501 and 6507 = LCM of 6507 and 6501

Related Least Common Multiples of 6501

Related Least Common Multiples of 6507

Frequently Asked Questions on LCM of 6501 and 6507

1. What is the LCM of 6501 and 6507?

Answer: LCM of 6501 and 6507 is 14100669.

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 6507?

Answer: Factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507. There are 8 integers that are factors of 6507. The greatest factor of 6507 is 6507.

4. How to Find the LCM of 6501 and 6507?

Answer:

Least Common Multiple of 6501 and 6507 = 14100669

Step 1: Find the prime factorization of 6501

6501 = 3 x 11 x 197

Step 2: Find the prime factorization of 6507

6507 = 3 x 3 x 3 x 241

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

LCM = 14100669 = 3 x 3 x 3 x 11 x 197 x 241

Step 4: Therefore, the least common multiple of 6501 and 6507 is 14100669.