Least Common Multiple of 2409 and 2415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2409 and 2415 the smallest integer that is 1939245 that is divisible by both numbers.

Least Common Multiple (LCM) of 2409 and 2415 is 1939245.

LCM(2409,2415) = 1939245

LCM of 2409 and 2415

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

LCM of:
and

Least Common Multiple of 2409 and 2415

LCM of 2409 and 2415 is 1939245

Least common multiple can be found by multiplying the highest exponent prime factors of 2409 and 2415. First we will calculate the prime factors of 2409 and 2415.

Prime Factorization of 2409


3 2409
11 803
73 73
1

Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:

2409 = 31×111×731

Prime Factorization of 2415


3 2415
5 805
7 161
23 23
1

Prime factors of 2415 are 3, 5, 7,23. Prime factorization of 2415 in exponential form is:

2415 = 31×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2409 and 2415.

LCM(2409,2415) = 31×51×71×111×231×731
LCM(2409,2415) = 1939245

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1, 3, 11, 33, 73, 219, 803, 2409

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415

Least Common Multiple of 2409 and 2415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2409 and 2415, than apply into the LCM equation.

GCF(2409,2415) = 3
LCM(2409,2415) = ( 2409 × 2415) / 3
LCM(2409,2415) = 5817735 / 3
LCM(2409,2415) = 1939245

Properties of LCM 2409 and 2415

(i) The LCM of 2415 and 2409 is associative

LCM of 2409 and 2415 = LCM of 2415 and 2409

Related Least Common Multiples of 2409

Related Least Common Multiples of 2415

Frequently Asked Questions on LCM of 2409 and 2415

1. What is the LCM of 2409 and 2415?

Answer: LCM of 2409 and 2415 is 1939245.

2. What are the Factors of 2409?

Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.

3. What are the Factors of 2415?

Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.

4. How to Find the LCM of 2409 and 2415?

Answer:

Least Common Multiple of 2409 and 2415 = 1939245

Step 1: Find the prime factorization of 2409

2409 = 3 x 11 x 73

Step 2: Find the prime factorization of 2415

2415 = 3 x 5 x 7 x 23

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

LCM = 1939245 = 3 x 5 x 7 x 11 x 23 x 73

Step 4: Therefore, the least common multiple of 2409 and 2415 is 1939245.