Least Common Multiple of 6475 and 6479

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 6479 the smallest integer that is 41951525 that is divisible by both numbers.

Least Common Multiple (LCM) of 6475 and 6479 is 41951525.

LCM(6475,6479) = 41951525

LCM of 6475 and 6479

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

LCM of:
and

Least Common Multiple of 6475 and 6479

LCM of 6475 and 6479 is 41951525

Least common multiple can be found by multiplying the highest exponent prime factors of 6475 and 6479. First we will calculate the prime factors of 6475 and 6479.

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 6479


11 6479
19 589
31 31
1

Prime factors of 6479 are 11, 19,31. Prime factorization of 6479 in exponential form is:

6479 = 111×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6475 and 6479.

LCM(6475,6479) = 52×71×111×191×311×371
LCM(6475,6479) = 41951525

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 6479

List of positive integer factors of 6479 that divides 6479 without a remainder.

1, 11, 19, 31, 209, 341, 589, 6479

Least Common Multiple of 6475 and 6479 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 6479, than apply into the LCM equation.

GCF(6475,6479) = 1
LCM(6475,6479) = ( 6475 × 6479) / 1
LCM(6475,6479) = 41951525 / 1
LCM(6475,6479) = 41951525

Properties of LCM 6475 and 6479

(i) The LCM of 6479 and 6475 is associative

LCM of 6475 and 6479 = LCM of 6479 and 6475

Related Least Common Multiples of 6475

Related Least Common Multiples of 6479

Frequently Asked Questions on LCM of 6475 and 6479

1. What is the LCM of 6475 and 6479?

Answer: LCM of 6475 and 6479 is 41951525.

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 6479?

Answer: Factors of 6479 are 1, 11, 19, 31, 209, 341, 589, 6479. There are 8 integers that are factors of 6479. The greatest factor of 6479 is 6479.

4. How to Find the LCM of 6475 and 6479?

Answer:

Least Common Multiple of 6475 and 6479 = 41951525

Step 1: Find the prime factorization of 6475

6475 = 5 x 5 x 7 x 37

Step 2: Find the prime factorization of 6479

6479 = 11 x 19 x 31

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

LCM = 41951525 = 5 x 5 x 7 x 11 x 19 x 31 x 37

Step 4: Therefore, the least common multiple of 6475 and 6479 is 41951525.