Least Common Multiple of 6475 and 6476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6475 and 6476 the smallest integer that is 41932100 that is divisible by both numbers.

Least Common Multiple (LCM) of 6475 and 6476 is 41932100.

LCM(6475,6476) = 41932100

LCM of 6475 and 6476

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

LCM of:
and

Least Common Multiple of 6475 and 6476

LCM of 6475 and 6476 is 41932100

Least common multiple can be found by multiplying the highest exponent prime factors of 6475 and 6476. First we will calculate the prime factors of 6475 and 6476.

Prime Factorization of 6475


5 6475
5 1295
7 259
37 37
1

Prime factors of 6475 are 5, 7,37. Prime factorization of 6475 in exponential form is:

6475 = 52×71×371

Prime Factorization of 6476


2 6476
2 3238
1619 1619
1

Prime factors of 6476 are 2,1619. Prime factorization of 6476 in exponential form is:

6476 = 22×16191

Now multiplying the highest exponent prime factors to calculate the LCM of 6475 and 6476.

LCM(6475,6476) = 22×52×71×371×16191
LCM(6475,6476) = 41932100

Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475

Factors of 6476

List of positive integer factors of 6476 that divides 6476 without a remainder.

1, 2, 4, 1619, 3238, 6476

Least Common Multiple of 6475 and 6476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6475 and 6476, than apply into the LCM equation.

GCF(6475,6476) = 1
LCM(6475,6476) = ( 6475 × 6476) / 1
LCM(6475,6476) = 41932100 / 1
LCM(6475,6476) = 41932100

Properties of LCM 6475 and 6476

(i) The LCM of 6476 and 6475 is associative

LCM of 6475 and 6476 = LCM of 6476 and 6475

Related Least Common Multiples of 6475

Related Least Common Multiples of 6476

Frequently Asked Questions on LCM of 6475 and 6476

1. What is the LCM of 6475 and 6476?

Answer: LCM of 6475 and 6476 is 41932100.

2. What are the Factors of 6475?

Answer: Factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475. There are 12 integers that are factors of 6475. The greatest factor of 6475 is 6475.

3. What are the Factors of 6476?

Answer: Factors of 6476 are 1, 2, 4, 1619, 3238, 6476. There are 6 integers that are factors of 6476. The greatest factor of 6476 is 6476.

4. How to Find the LCM of 6475 and 6476?

Answer:

Least Common Multiple of 6475 and 6476 = 41932100

Step 1: Find the prime factorization of 6475

6475 = 5 x 5 x 7 x 37

Step 2: Find the prime factorization of 6476

6476 = 2 x 2 x 1619

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

LCM = 41932100 = 2 x 2 x 5 x 5 x 7 x 37 x 1619

Step 4: Therefore, the least common multiple of 6475 and 6476 is 41932100.