Least Common Multiple of 6487 and 6491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6487 and 6491 the smallest integer that is 42107117 that is divisible by both numbers.

Least Common Multiple (LCM) of 6487 and 6491 is 42107117.

LCM(6487,6491) = 42107117

LCM of 6487 and 6491

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

LCM of:
and

Least Common Multiple of 6487 and 6491

LCM of 6487 and 6491 is 42107117

Least common multiple can be found by multiplying the highest exponent prime factors of 6487 and 6491. First we will calculate the prime factors of 6487 and 6491.

Prime Factorization of 6487


13 6487
499 499
1

Prime factors of 6487 are 13,499. Prime factorization of 6487 in exponential form is:

6487 = 131×4991

Prime Factorization of 6491


6491 6491
1

Prime factors of 6491 are 6491. Prime factorization of 6491 in exponential form is:

6491 = 64911

Now multiplying the highest exponent prime factors to calculate the LCM of 6487 and 6491.

LCM(6487,6491) = 131×4991×64911
LCM(6487,6491) = 42107117

Factors of 6487

List of positive integer factors of 6487 that divides 6487 without a remainder.

1, 13, 499, 6487

Factors of 6491

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

1, 6491

Least Common Multiple of 6487 and 6491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6487 and 6491, than apply into the LCM equation.

GCF(6487,6491) = 1
LCM(6487,6491) = ( 6487 × 6491) / 1
LCM(6487,6491) = 42107117 / 1
LCM(6487,6491) = 42107117

Properties of LCM 6487 and 6491

(i) The LCM of 6491 and 6487 is associative

LCM of 6487 and 6491 = LCM of 6491 and 6487

Related Least Common Multiples of 6487

Related Least Common Multiples of 6491

Frequently Asked Questions on LCM of 6487 and 6491

1. What is the LCM of 6487 and 6491?

Answer: LCM of 6487 and 6491 is 42107117.

2. What are the Factors of 6487?

Answer: Factors of 6487 are 1, 13, 499, 6487. There are 4 integers that are factors of 6487. The greatest factor of 6487 is 6487.

3. 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.

4. How to Find the LCM of 6487 and 6491?

Answer:

Least Common Multiple of 6487 and 6491 = 42107117

Step 1: Find the prime factorization of 6487

6487 = 13 x 499

Step 2: Find the prime factorization of 6491

6491 = 6491

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

LCM = 42107117 = 13 x 499 x 6491

Step 4: Therefore, the least common multiple of 6487 and 6491 is 42107117.