Least Common Multiple of 6497 and 6504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6497 and 6504 the smallest integer that is 42256488 that is divisible by both numbers.

Least Common Multiple (LCM) of 6497 and 6504 is 42256488.

LCM(6497,6504) = 42256488

LCM of 6497 and 6504

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

LCM of:
and

Least Common Multiple of 6497 and 6504

LCM of 6497 and 6504 is 42256488

Least common multiple can be found by multiplying the highest exponent prime factors of 6497 and 6504. First we will calculate the prime factors of 6497 and 6504.

Prime Factorization of 6497


73 6497
89 89
1

Prime factors of 6497 are 73,89. Prime factorization of 6497 in exponential form is:

6497 = 731×891

Prime Factorization of 6504


2 6504
2 3252
2 1626
3 813
271 271
1

Prime factors of 6504 are 2, 3,271. Prime factorization of 6504 in exponential form is:

6504 = 23×31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 6497 and 6504.

LCM(6497,6504) = 23×31×731×891×2711
LCM(6497,6504) = 42256488

Factors of 6497

List of positive integer factors of 6497 that divides 6497 without a remainder.

1, 73, 89, 6497

Factors of 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504

Least Common Multiple of 6497 and 6504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6497 and 6504, than apply into the LCM equation.

GCF(6497,6504) = 1
LCM(6497,6504) = ( 6497 × 6504) / 1
LCM(6497,6504) = 42256488 / 1
LCM(6497,6504) = 42256488

Properties of LCM 6497 and 6504

(i) The LCM of 6504 and 6497 is associative

LCM of 6497 and 6504 = LCM of 6504 and 6497

Related Least Common Multiples of 6497

Related Least Common Multiples of 6504

Frequently Asked Questions on LCM of 6497 and 6504

1. What is the LCM of 6497 and 6504?

Answer: LCM of 6497 and 6504 is 42256488.

2. What are the Factors of 6497?

Answer: Factors of 6497 are 1, 73, 89, 6497. There are 4 integers that are factors of 6497. The greatest factor of 6497 is 6497.

3. What are the Factors of 6504?

Answer: Factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504. There are 16 integers that are factors of 6504. The greatest factor of 6504 is 6504.

4. How to Find the LCM of 6497 and 6504?

Answer:

Least Common Multiple of 6497 and 6504 = 42256488

Step 1: Find the prime factorization of 6497

6497 = 73 x 89

Step 2: Find the prime factorization of 6504

6504 = 2 x 2 x 2 x 3 x 271

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

LCM = 42256488 = 2 x 2 x 2 x 3 x 73 x 89 x 271

Step 4: Therefore, the least common multiple of 6497 and 6504 is 42256488.