Least Common Multiple of 2475 and 2481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2475 and 2481 the smallest integer that is 2046825 that is divisible by both numbers.

Least Common Multiple (LCM) of 2475 and 2481 is 2046825.

LCM(2475,2481) = 2046825

LCM of 2475 and 2481

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

LCM of:
and

Least Common Multiple of 2475 and 2481

LCM of 2475 and 2481 is 2046825

Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2481. First we will calculate the prime factors of 2475 and 2481.

Prime Factorization of 2475


3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 2475 are 3, 5,11. Prime factorization of 2475 in exponential form is:

2475 = 32×52×111

Prime Factorization of 2481


3 2481
827 827
1

Prime factors of 2481 are 3,827. Prime factorization of 2481 in exponential form is:

2481 = 31×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2481.

LCM(2475,2481) = 32×52×111×8271
LCM(2475,2481) = 2046825

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475

Factors of 2481

List of positive integer factors of 2481 that divides 2481 without a remainder.

1, 3, 827, 2481

Least Common Multiple of 2475 and 2481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2475 and 2481, than apply into the LCM equation.

GCF(2475,2481) = 3
LCM(2475,2481) = ( 2475 × 2481) / 3
LCM(2475,2481) = 6140475 / 3
LCM(2475,2481) = 2046825

Properties of LCM 2475 and 2481

(i) The LCM of 2481 and 2475 is associative

LCM of 2475 and 2481 = LCM of 2481 and 2475

Related Least Common Multiples of 2475

Related Least Common Multiples of 2481

Frequently Asked Questions on LCM of 2475 and 2481

1. What is the LCM of 2475 and 2481?

Answer: LCM of 2475 and 2481 is 2046825.

2. What are the Factors of 2475?

Answer: Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. There are 18 integers that are factors of 2475. The greatest factor of 2475 is 2475.

3. What are the Factors of 2481?

Answer: Factors of 2481 are 1, 3, 827, 2481. There are 4 integers that are factors of 2481. The greatest factor of 2481 is 2481.

4. How to Find the LCM of 2475 and 2481?

Answer:

Least Common Multiple of 2475 and 2481 = 2046825

Step 1: Find the prime factorization of 2475

2475 = 3 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 2481

2481 = 3 x 827

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

LCM = 2046825 = 3 x 3 x 5 x 5 x 11 x 827

Step 4: Therefore, the least common multiple of 2475 and 2481 is 2046825.