Least Common Multiple of 2399 and 2407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2399 and 2407 the smallest integer that is 5774393 that is divisible by both numbers.

Least Common Multiple (LCM) of 2399 and 2407 is 5774393.

LCM(2399,2407) = 5774393

LCM of 2399 and 2407

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

LCM of:
and

Least Common Multiple of 2399 and 2407

LCM of 2399 and 2407 is 5774393

Least common multiple can be found by multiplying the highest exponent prime factors of 2399 and 2407. First we will calculate the prime factors of 2399 and 2407.

Prime Factorization of 2399


2399 2399
1

Prime factors of 2399 are 2399. Prime factorization of 2399 in exponential form is:

2399 = 23991

Prime Factorization of 2407


29 2407
83 83
1

Prime factors of 2407 are 29,83. Prime factorization of 2407 in exponential form is:

2407 = 291×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2399 and 2407.

LCM(2399,2407) = 291×831×23991
LCM(2399,2407) = 5774393

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1, 2399

Factors of 2407

List of positive integer factors of 2407 that divides 2407 without a remainder.

1, 29, 83, 2407

Least Common Multiple of 2399 and 2407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2399 and 2407, than apply into the LCM equation.

GCF(2399,2407) = 1
LCM(2399,2407) = ( 2399 × 2407) / 1
LCM(2399,2407) = 5774393 / 1
LCM(2399,2407) = 5774393

Properties of LCM 2399 and 2407

(i) The LCM of 2407 and 2399 is associative

LCM of 2399 and 2407 = LCM of 2407 and 2399

Related Least Common Multiples of 2399

Related Least Common Multiples of 2407

Frequently Asked Questions on LCM of 2399 and 2407

1. What is the LCM of 2399 and 2407?

Answer: LCM of 2399 and 2407 is 5774393.

2. What are the Factors of 2399?

Answer: Factors of 2399 are 1, 2399. There are 2 integers that are factors of 2399. The greatest factor of 2399 is 2399.

3. What are the Factors of 2407?

Answer: Factors of 2407 are 1, 29, 83, 2407. There are 4 integers that are factors of 2407. The greatest factor of 2407 is 2407.

4. How to Find the LCM of 2399 and 2407?

Answer:

Least Common Multiple of 2399 and 2407 = 5774393

Step 1: Find the prime factorization of 2399

2399 = 2399

Step 2: Find the prime factorization of 2407

2407 = 29 x 83

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

LCM = 5774393 = 29 x 83 x 2399

Step 4: Therefore, the least common multiple of 2399 and 2407 is 5774393.