Least Common Multiple of 2403 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 2403 and 2408 the smallest integer that is 5786424 that is divisible by both numbers.

Least Common Multiple (LCM) of 2403 and 2408 is 5786424.

LCM(2403,2408) = 5786424

LCM of 2403 and 2408

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

LCM of:
and

Least Common Multiple of 2403 and 2408

LCM of 2403 and 2408 is 5786424

Least common multiple can be found by multiplying the highest exponent prime factors of 2403 and 2408. First we will calculate the prime factors of 2403 and 2408.

Prime Factorization of 2403


3 2403
3 801
3 267
89 89
1

Prime factors of 2403 are 3,89. Prime factorization of 2403 in exponential form is:

2403 = 33×891

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 2403 and 2408.

LCM(2403,2408) = 23×33×71×431×891
LCM(2403,2408) = 5786424

Factors of 2403

List of positive integer factors of 2403 that divides 2403 without a remainder.

1, 3, 9, 27, 89, 267, 801, 2403

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 2403 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 2403 and 2408, than apply into the LCM equation.

GCF(2403,2408) = 1
LCM(2403,2408) = ( 2403 × 2408) / 1
LCM(2403,2408) = 5786424 / 1
LCM(2403,2408) = 5786424

Properties of LCM 2403 and 2408

(i) The LCM of 2408 and 2403 is associative

LCM of 2403 and 2408 = LCM of 2408 and 2403

Related Least Common Multiples of 2403

Related Least Common Multiples of 2408

Frequently Asked Questions on LCM of 2403 and 2408

1. What is the LCM of 2403 and 2408?

Answer: LCM of 2403 and 2408 is 5786424.

2. What are the Factors of 2403?

Answer: Factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403. There are 8 integers that are factors of 2403. The greatest factor of 2403 is 2403.

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 2403 and 2408?

Answer:

Least Common Multiple of 2403 and 2408 = 5786424

Step 1: Find the prime factorization of 2403

2403 = 3 x 3 x 3 x 89

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 = 5786424 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 43 x 89

Step 4: Therefore, the least common multiple of 2403 and 2408 is 5786424.