Least Common Multiple of 8481 and 8485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8481 and 8485 the smallest integer that is 71961285 that is divisible by both numbers.

Least Common Multiple (LCM) of 8481 and 8485 is 71961285.

LCM(8481,8485) = 71961285

LCM of 8481 and 8485

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

LCM of:
and

Least Common Multiple of 8481 and 8485

LCM of 8481 and 8485 is 71961285

Least common multiple can be found by multiplying the highest exponent prime factors of 8481 and 8485. First we will calculate the prime factors of 8481 and 8485.

Prime Factorization of 8481


3 8481
11 2827
257 257
1

Prime factors of 8481 are 3, 11,257. Prime factorization of 8481 in exponential form is:

8481 = 31×111×2571

Prime Factorization of 8485


5 8485
1697 1697
1

Prime factors of 8485 are 5,1697. Prime factorization of 8485 in exponential form is:

8485 = 51×16971

Now multiplying the highest exponent prime factors to calculate the LCM of 8481 and 8485.

LCM(8481,8485) = 31×51×111×2571×16971
LCM(8481,8485) = 71961285

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1, 3, 11, 33, 257, 771, 2827, 8481

Factors of 8485

List of positive integer factors of 8485 that divides 8485 without a remainder.

1, 5, 1697, 8485

Least Common Multiple of 8481 and 8485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8481 and 8485, than apply into the LCM equation.

GCF(8481,8485) = 1
LCM(8481,8485) = ( 8481 × 8485) / 1
LCM(8481,8485) = 71961285 / 1
LCM(8481,8485) = 71961285

Properties of LCM 8481 and 8485

(i) The LCM of 8485 and 8481 is associative

LCM of 8481 and 8485 = LCM of 8485 and 8481

Related Least Common Multiples of 8481

Related Least Common Multiples of 8485

Frequently Asked Questions on LCM of 8481 and 8485

1. What is the LCM of 8481 and 8485?

Answer: LCM of 8481 and 8485 is 71961285.

2. What are the Factors of 8481?

Answer: Factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481. There are 8 integers that are factors of 8481. The greatest factor of 8481 is 8481.

3. What are the Factors of 8485?

Answer: Factors of 8485 are 1, 5, 1697, 8485. There are 4 integers that are factors of 8485. The greatest factor of 8485 is 8485.

4. How to Find the LCM of 8481 and 8485?

Answer:

Least Common Multiple of 8481 and 8485 = 71961285

Step 1: Find the prime factorization of 8481

8481 = 3 x 11 x 257

Step 2: Find the prime factorization of 8485

8485 = 5 x 1697

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

LCM = 71961285 = 3 x 5 x 11 x 257 x 1697

Step 4: Therefore, the least common multiple of 8481 and 8485 is 71961285.