Least Common Multiple of 2401 and 2409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2401 and 2409 the smallest integer that is 5784009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2401 and 2409 is 5784009.

LCM(2401,2409) = 5784009

LCM of 2401 and 2409

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

LCM of:
and

Least Common Multiple of 2401 and 2409

LCM of 2401 and 2409 is 5784009

Least common multiple can be found by multiplying the highest exponent prime factors of 2401 and 2409. First we will calculate the prime factors of 2401 and 2409.

Prime Factorization of 2401


7 2401
7 343
7 49
7 7
1

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2401 and 2409.

LCM(2401,2409) = 31×74×111×731
LCM(2401,2409) = 5784009

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1, 7, 49, 343, 2401

Factors of 2409

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

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

Least Common Multiple of 2401 and 2409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2401 and 2409, than apply into the LCM equation.

GCF(2401,2409) = 1
LCM(2401,2409) = ( 2401 × 2409) / 1
LCM(2401,2409) = 5784009 / 1
LCM(2401,2409) = 5784009

Properties of LCM 2401 and 2409

(i) The LCM of 2409 and 2401 is associative

LCM of 2401 and 2409 = LCM of 2409 and 2401

Related Least Common Multiples of 2401

Related Least Common Multiples of 2409

Frequently Asked Questions on LCM of 2401 and 2409

1. What is the LCM of 2401 and 2409?

Answer: LCM of 2401 and 2409 is 5784009.

2. What are the Factors of 2401?

Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.

3. 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.

4. How to Find the LCM of 2401 and 2409?

Answer:

Least Common Multiple of 2401 and 2409 = 5784009

Step 1: Find the prime factorization of 2401

2401 = 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 2409

2409 = 3 x 11 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 = 5784009 = 3 x 7 x 7 x 7 x 7 x 11 x 73

Step 4: Therefore, the least common multiple of 2401 and 2409 is 5784009.