Least Common Multiple of 6491 and 6495

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 6495 the smallest integer that is 42159045 that is divisible by both numbers.

Least Common Multiple (LCM) of 6491 and 6495 is 42159045.

LCM(6491,6495) = 42159045

LCM of 6491 and 6495

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

LCM of:
and

Least Common Multiple of 6491 and 6495

LCM of 6491 and 6495 is 42159045

Least common multiple can be found by multiplying the highest exponent prime factors of 6491 and 6495. First we will calculate the prime factors of 6491 and 6495.

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 6495


3 6495
5 2165
433 433
1

Prime factors of 6495 are 3, 5,433. Prime factorization of 6495 in exponential form is:

6495 = 31×51×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 6491 and 6495.

LCM(6491,6495) = 31×51×4331×64911
LCM(6491,6495) = 42159045

Factors of 6491

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

1, 6491

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1, 3, 5, 15, 433, 1299, 2165, 6495

Least Common Multiple of 6491 and 6495 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 6495, than apply into the LCM equation.

GCF(6491,6495) = 1
LCM(6491,6495) = ( 6491 × 6495) / 1
LCM(6491,6495) = 42159045 / 1
LCM(6491,6495) = 42159045

Properties of LCM 6491 and 6495

(i) The LCM of 6495 and 6491 is associative

LCM of 6491 and 6495 = LCM of 6495 and 6491

Related Least Common Multiples of 6491

Related Least Common Multiples of 6495

Frequently Asked Questions on LCM of 6491 and 6495

1. What is the LCM of 6491 and 6495?

Answer: LCM of 6491 and 6495 is 42159045.

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 6495?

Answer: Factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495. There are 8 integers that are factors of 6495. The greatest factor of 6495 is 6495.

4. How to Find the LCM of 6491 and 6495?

Answer:

Least Common Multiple of 6491 and 6495 = 42159045

Step 1: Find the prime factorization of 6491

6491 = 6491

Step 2: Find the prime factorization of 6495

6495 = 3 x 5 x 433

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

LCM = 42159045 = 3 x 5 x 433 x 6491

Step 4: Therefore, the least common multiple of 6491 and 6495 is 42159045.