Least Common Multiple of 6494 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 6494 and 6495 the smallest integer that is 42178530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6494 and 6495 is 42178530.

LCM(6494,6495) = 42178530

LCM of 6494 and 6495

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

LCM of:
and

Least Common Multiple of 6494 and 6495

LCM of 6494 and 6495 is 42178530

Least common multiple can be found by multiplying the highest exponent prime factors of 6494 and 6495. First we will calculate the prime factors of 6494 and 6495.

Prime Factorization of 6494


2 6494
17 3247
191 191
1

Prime factors of 6494 are 2, 17,191. Prime factorization of 6494 in exponential form is:

6494 = 21×171×1911

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 6494 and 6495.

LCM(6494,6495) = 21×31×51×171×1911×4331
LCM(6494,6495) = 42178530

Factors of 6494

List of positive integer factors of 6494 that divides 6494 without a remainder.

1, 2, 17, 34, 191, 382, 3247, 6494

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 6494 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 6494 and 6495, than apply into the LCM equation.

GCF(6494,6495) = 1
LCM(6494,6495) = ( 6494 × 6495) / 1
LCM(6494,6495) = 42178530 / 1
LCM(6494,6495) = 42178530

Properties of LCM 6494 and 6495

(i) The LCM of 6495 and 6494 is associative

LCM of 6494 and 6495 = LCM of 6495 and 6494

Related Least Common Multiples of 6494

Related Least Common Multiples of 6495

Frequently Asked Questions on LCM of 6494 and 6495

1. What is the LCM of 6494 and 6495?

Answer: LCM of 6494 and 6495 is 42178530.

2. What are the Factors of 6494?

Answer: Factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494. There are 8 integers that are factors of 6494. The greatest factor of 6494 is 6494.

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 6494 and 6495?

Answer:

Least Common Multiple of 6494 and 6495 = 42178530

Step 1: Find the prime factorization of 6494

6494 = 2 x 17 x 191

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 = 42178530 = 2 x 3 x 5 x 17 x 191 x 433

Step 4: Therefore, the least common multiple of 6494 and 6495 is 42178530.