Least Common Multiple of 2409 and 2412

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 2412 the smallest integer that is 1936836 that is divisible by both numbers.

Least Common Multiple (LCM) of 2409 and 2412 is 1936836.

LCM(2409,2412) = 1936836

LCM of 2409 and 2412

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

LCM of:
and

Least Common Multiple of 2409 and 2412

LCM of 2409 and 2412 is 1936836

Least common multiple can be found by multiplying the highest exponent prime factors of 2409 and 2412. First we will calculate the prime factors of 2409 and 2412.

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 2412


2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 2412 are 2, 3,67. Prime factorization of 2412 in exponential form is:

2412 = 22×32×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2409 and 2412.

LCM(2409,2412) = 22×32×111×671×731
LCM(2409,2412) = 1936836

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 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412

Least Common Multiple of 2409 and 2412 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 2412, than apply into the LCM equation.

GCF(2409,2412) = 3
LCM(2409,2412) = ( 2409 × 2412) / 3
LCM(2409,2412) = 5810508 / 3
LCM(2409,2412) = 1936836

Properties of LCM 2409 and 2412

(i) The LCM of 2412 and 2409 is associative

LCM of 2409 and 2412 = LCM of 2412 and 2409

Related Least Common Multiples of 2409

Related Least Common Multiples of 2412

Frequently Asked Questions on LCM of 2409 and 2412

1. What is the LCM of 2409 and 2412?

Answer: LCM of 2409 and 2412 is 1936836.

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 2412?

Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.

4. How to Find the LCM of 2409 and 2412?

Answer:

Least Common Multiple of 2409 and 2412 = 1936836

Step 1: Find the prime factorization of 2409

2409 = 3 x 11 x 73

Step 2: Find the prime factorization of 2412

2412 = 2 x 2 x 3 x 3 x 67

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

LCM = 1936836 = 2 x 2 x 3 x 3 x 11 x 67 x 73

Step 4: Therefore, the least common multiple of 2409 and 2412 is 1936836.