Least Common Multiple of 2394 and 2401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2394 and 2401 the smallest integer that is 821142 that is divisible by both numbers.

Least Common Multiple (LCM) of 2394 and 2401 is 821142.

LCM(2394,2401) = 821142

LCM of 2394 and 2401

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

LCM of:
and

Least Common Multiple of 2394 and 2401

LCM of 2394 and 2401 is 821142

Least common multiple can be found by multiplying the highest exponent prime factors of 2394 and 2401. First we will calculate the prime factors of 2394 and 2401.

Prime Factorization of 2394


2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 2394 are 2, 3, 7,19. Prime factorization of 2394 in exponential form is:

2394 = 21×32×71×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2394 and 2401.

LCM(2394,2401) = 21×32×74×191
LCM(2394,2401) = 821142

Factors of 2394

List of positive integer factors of 2394 that divides 2394 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394

Factors of 2401

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

1, 7, 49, 343, 2401

Least Common Multiple of 2394 and 2401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2394 and 2401, than apply into the LCM equation.

GCF(2394,2401) = 7
LCM(2394,2401) = ( 2394 × 2401) / 7
LCM(2394,2401) = 5747994 / 7
LCM(2394,2401) = 821142

Properties of LCM 2394 and 2401

(i) The LCM of 2401 and 2394 is associative

LCM of 2394 and 2401 = LCM of 2401 and 2394

Related Least Common Multiples of 2394

Related Least Common Multiples of 2401

Frequently Asked Questions on LCM of 2394 and 2401

1. What is the LCM of 2394 and 2401?

Answer: LCM of 2394 and 2401 is 821142.

2. What are the Factors of 2394?

Answer: Factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394. There are 24 integers that are factors of 2394. The greatest factor of 2394 is 2394.

3. 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.

4. How to Find the LCM of 2394 and 2401?

Answer:

Least Common Multiple of 2394 and 2401 = 821142

Step 1: Find the prime factorization of 2394

2394 = 2 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 2401

2401 = 7 x 7 x 7 x 7

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

LCM = 821142 = 2 x 3 x 3 x 7 x 7 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 2394 and 2401 is 821142.