Least Common Multiple of 6491 and 6499

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 6499 the smallest integer that is 42185009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6491 and 6499 is 42185009.

LCM(6491,6499) = 42185009

LCM of 6491 and 6499

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

LCM of:
and

Least Common Multiple of 6491 and 6499

LCM of 6491 and 6499 is 42185009

Least common multiple can be found by multiplying the highest exponent prime factors of 6491 and 6499. First we will calculate the prime factors of 6491 and 6499.

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 6499


67 6499
97 97
1

Prime factors of 6499 are 67,97. Prime factorization of 6499 in exponential form is:

6499 = 671×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6491 and 6499.

LCM(6491,6499) = 671×971×64911
LCM(6491,6499) = 42185009

Factors of 6491

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

1, 6491

Factors of 6499

List of positive integer factors of 6499 that divides 6499 without a remainder.

1, 67, 97, 6499

Least Common Multiple of 6491 and 6499 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 6499, than apply into the LCM equation.

GCF(6491,6499) = 1
LCM(6491,6499) = ( 6491 × 6499) / 1
LCM(6491,6499) = 42185009 / 1
LCM(6491,6499) = 42185009

Properties of LCM 6491 and 6499

(i) The LCM of 6499 and 6491 is associative

LCM of 6491 and 6499 = LCM of 6499 and 6491

Related Least Common Multiples of 6491

Related Least Common Multiples of 6499

Frequently Asked Questions on LCM of 6491 and 6499

1. What is the LCM of 6491 and 6499?

Answer: LCM of 6491 and 6499 is 42185009.

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 6499?

Answer: Factors of 6499 are 1, 67, 97, 6499. There are 4 integers that are factors of 6499. The greatest factor of 6499 is 6499.

4. How to Find the LCM of 6491 and 6499?

Answer:

Least Common Multiple of 6491 and 6499 = 42185009

Step 1: Find the prime factorization of 6491

6491 = 6491

Step 2: Find the prime factorization of 6499

6499 = 67 x 97

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

LCM = 42185009 = 67 x 97 x 6491

Step 4: Therefore, the least common multiple of 6491 and 6499 is 42185009.