Least Common Multiple of 2401 and 2408

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 2408 the smallest integer that is 825944 that is divisible by both numbers.

Least Common Multiple (LCM) of 2401 and 2408 is 825944.

LCM(2401,2408) = 825944

LCM of 2401 and 2408

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

LCM of:
and

Least Common Multiple of 2401 and 2408

LCM of 2401 and 2408 is 825944

Least common multiple can be found by multiplying the highest exponent prime factors of 2401 and 2408. First we will calculate the prime factors of 2401 and 2408.

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 2408


2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 2408 are 2, 7,43. Prime factorization of 2408 in exponential form is:

2408 = 23×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2401 and 2408.

LCM(2401,2408) = 23×74×431
LCM(2401,2408) = 825944

Factors of 2401

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

1, 7, 49, 343, 2401

Factors of 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408

Least Common Multiple of 2401 and 2408 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 2408, than apply into the LCM equation.

GCF(2401,2408) = 7
LCM(2401,2408) = ( 2401 × 2408) / 7
LCM(2401,2408) = 5781608 / 7
LCM(2401,2408) = 825944

Properties of LCM 2401 and 2408

(i) The LCM of 2408 and 2401 is associative

LCM of 2401 and 2408 = LCM of 2408 and 2401

Related Least Common Multiples of 2401

Related Least Common Multiples of 2408

Frequently Asked Questions on LCM of 2401 and 2408

1. What is the LCM of 2401 and 2408?

Answer: LCM of 2401 and 2408 is 825944.

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 2408?

Answer: Factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408. There are 16 integers that are factors of 2408. The greatest factor of 2408 is 2408.

4. How to Find the LCM of 2401 and 2408?

Answer:

Least Common Multiple of 2401 and 2408 = 825944

Step 1: Find the prime factorization of 2401

2401 = 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 2408

2408 = 2 x 2 x 2 x 7 x 43

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

LCM = 825944 = 2 x 2 x 2 x 7 x 7 x 7 x 7 x 43

Step 4: Therefore, the least common multiple of 2401 and 2408 is 825944.