Least Common Multiple of 2475 and 2482

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 2482 the smallest integer that is 6142950 that is divisible by both numbers.

Least Common Multiple (LCM) of 2475 and 2482 is 6142950.

LCM(2475,2482) = 6142950

LCM of 2475 and 2482

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

LCM of:
and

Least Common Multiple of 2475 and 2482

LCM of 2475 and 2482 is 6142950

Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2482. First we will calculate the prime factors of 2475 and 2482.

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 2482


2 2482
17 1241
73 73
1

Prime factors of 2482 are 2, 17,73. Prime factorization of 2482 in exponential form is:

2482 = 21×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2482.

LCM(2475,2482) = 21×32×52×111×171×731
LCM(2475,2482) = 6142950

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 2482

List of positive integer factors of 2482 that divides 2482 without a remainder.

1, 2, 17, 34, 73, 146, 1241, 2482

Least Common Multiple of 2475 and 2482 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 2482, than apply into the LCM equation.

GCF(2475,2482) = 1
LCM(2475,2482) = ( 2475 × 2482) / 1
LCM(2475,2482) = 6142950 / 1
LCM(2475,2482) = 6142950

Properties of LCM 2475 and 2482

(i) The LCM of 2482 and 2475 is associative

LCM of 2475 and 2482 = LCM of 2482 and 2475

Related Least Common Multiples of 2475

Related Least Common Multiples of 2482

Frequently Asked Questions on LCM of 2475 and 2482

1. What is the LCM of 2475 and 2482?

Answer: LCM of 2475 and 2482 is 6142950.

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 2482?

Answer: Factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482. There are 8 integers that are factors of 2482. The greatest factor of 2482 is 2482.

4. How to Find the LCM of 2475 and 2482?

Answer:

Least Common Multiple of 2475 and 2482 = 6142950

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 2482

2482 = 2 x 17 x 73

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

LCM = 6142950 = 2 x 3 x 3 x 5 x 5 x 11 x 17 x 73

Step 4: Therefore, the least common multiple of 2475 and 2482 is 6142950.