Least Common Multiple of 2469 and 2475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2469 and 2475 the smallest integer that is 2036925 that is divisible by both numbers.

Least Common Multiple (LCM) of 2469 and 2475 is 2036925.

LCM(2469,2475) = 2036925

LCM of 2469 and 2475

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

LCM of:
and

Least Common Multiple of 2469 and 2475

LCM of 2469 and 2475 is 2036925

Least common multiple can be found by multiplying the highest exponent prime factors of 2469 and 2475. First we will calculate the prime factors of 2469 and 2475.

Prime Factorization of 2469


3 2469
823 823
1

Prime factors of 2469 are 3,823. Prime factorization of 2469 in exponential form is:

2469 = 31×8231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2469 and 2475.

LCM(2469,2475) = 32×52×111×8231
LCM(2469,2475) = 2036925

Factors of 2469

List of positive integer factors of 2469 that divides 2469 without a remainder.

1, 3, 823, 2469

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

Least Common Multiple of 2469 and 2475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2469 and 2475, than apply into the LCM equation.

GCF(2469,2475) = 3
LCM(2469,2475) = ( 2469 × 2475) / 3
LCM(2469,2475) = 6110775 / 3
LCM(2469,2475) = 2036925

Properties of LCM 2469 and 2475

(i) The LCM of 2475 and 2469 is associative

LCM of 2469 and 2475 = LCM of 2475 and 2469

Related Least Common Multiples of 2469

Related Least Common Multiples of 2475

Frequently Asked Questions on LCM of 2469 and 2475

1. What is the LCM of 2469 and 2475?

Answer: LCM of 2469 and 2475 is 2036925.

2. What are the Factors of 2469?

Answer: Factors of 2469 are 1, 3, 823, 2469. There are 4 integers that are factors of 2469. The greatest factor of 2469 is 2469.

3. 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.

4. How to Find the LCM of 2469 and 2475?

Answer:

Least Common Multiple of 2469 and 2475 = 2036925

Step 1: Find the prime factorization of 2469

2469 = 3 x 823

Step 2: Find the prime factorization of 2475

2475 = 3 x 3 x 5 x 5 x 11

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

LCM = 2036925 = 3 x 3 x 5 x 5 x 11 x 823

Step 4: Therefore, the least common multiple of 2469 and 2475 is 2036925.