Least Common Multiple of 3408 and 3413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3408 and 3413 the smallest integer that is 11631504 that is divisible by both numbers.

Least Common Multiple (LCM) of 3408 and 3413 is 11631504.

LCM(3408,3413) = 11631504

LCM of 3408 and 3413

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

LCM of:
and

Least Common Multiple of 3408 and 3413

LCM of 3408 and 3413 is 11631504

Least common multiple can be found by multiplying the highest exponent prime factors of 3408 and 3413. First we will calculate the prime factors of 3408 and 3413.

Prime Factorization of 3408


2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 3408 are 2, 3,71. Prime factorization of 3408 in exponential form is:

3408 = 24×31×711

Prime Factorization of 3413


3413 3413
1

Prime factors of 3413 are 3413. Prime factorization of 3413 in exponential form is:

3413 = 34131

Now multiplying the highest exponent prime factors to calculate the LCM of 3408 and 3413.

LCM(3408,3413) = 24×31×711×34131
LCM(3408,3413) = 11631504

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408

Factors of 3413

List of positive integer factors of 3413 that divides 3413 without a remainder.

1, 3413

Least Common Multiple of 3408 and 3413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3408 and 3413, than apply into the LCM equation.

GCF(3408,3413) = 1
LCM(3408,3413) = ( 3408 × 3413) / 1
LCM(3408,3413) = 11631504 / 1
LCM(3408,3413) = 11631504

Properties of LCM 3408 and 3413

(i) The LCM of 3413 and 3408 is associative

LCM of 3408 and 3413 = LCM of 3413 and 3408

Related Least Common Multiples of 3408

Related Least Common Multiples of 3413

Frequently Asked Questions on LCM of 3408 and 3413

1. What is the LCM of 3408 and 3413?

Answer: LCM of 3408 and 3413 is 11631504.

2. What are the Factors of 3408?

Answer: Factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. There are 20 integers that are factors of 3408. The greatest factor of 3408 is 3408.

3. What are the Factors of 3413?

Answer: Factors of 3413 are 1, 3413. There are 2 integers that are factors of 3413. The greatest factor of 3413 is 3413.

4. How to Find the LCM of 3408 and 3413?

Answer:

Least Common Multiple of 3408 and 3413 = 11631504

Step 1: Find the prime factorization of 3408

3408 = 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 3413

3413 = 3413

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

LCM = 11631504 = 2 x 2 x 2 x 2 x 3 x 71 x 3413

Step 4: Therefore, the least common multiple of 3408 and 3413 is 11631504.