Least Common Multiple of 2407 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 2407 and 2408 the smallest integer that is 5796056 that is divisible by both numbers.

Least Common Multiple (LCM) of 2407 and 2408 is 5796056.

LCM(2407,2408) = 5796056

LCM of 2407 and 2408

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

LCM of:
and

Least Common Multiple of 2407 and 2408

LCM of 2407 and 2408 is 5796056

Least common multiple can be found by multiplying the highest exponent prime factors of 2407 and 2408. First we will calculate the prime factors of 2407 and 2408.

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

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 2407 and 2408.

LCM(2407,2408) = 23×71×291×431×831
LCM(2407,2408) = 5796056

Factors of 2407

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

1, 29, 83, 2407

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 2407 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 2407 and 2408, than apply into the LCM equation.

GCF(2407,2408) = 1
LCM(2407,2408) = ( 2407 × 2408) / 1
LCM(2407,2408) = 5796056 / 1
LCM(2407,2408) = 5796056

Properties of LCM 2407 and 2408

(i) The LCM of 2408 and 2407 is associative

LCM of 2407 and 2408 = LCM of 2408 and 2407

Related Least Common Multiples of 2407

Related Least Common Multiples of 2408

Frequently Asked Questions on LCM of 2407 and 2408

1. What is the LCM of 2407 and 2408?

Answer: LCM of 2407 and 2408 is 5796056.

2. 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.

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 2407 and 2408?

Answer:

Least Common Multiple of 2407 and 2408 = 5796056

Step 1: Find the prime factorization of 2407

2407 = 29 x 83

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 = 5796056 = 2 x 2 x 2 x 7 x 29 x 43 x 83

Step 4: Therefore, the least common multiple of 2407 and 2408 is 5796056.