Least Common Multiple of 3403 and 3408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3403 and 3408 the smallest integer that is 11597424 that is divisible by both numbers.

Least Common Multiple (LCM) of 3403 and 3408 is 11597424.

LCM(3403,3408) = 11597424

LCM of 3403 and 3408

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

LCM of:
and

Least Common Multiple of 3403 and 3408

LCM of 3403 and 3408 is 11597424

Least common multiple can be found by multiplying the highest exponent prime factors of 3403 and 3408. First we will calculate the prime factors of 3403 and 3408.

Prime Factorization of 3403


41 3403
83 83
1

Prime factors of 3403 are 41,83. Prime factorization of 3403 in exponential form is:

3403 = 411×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3403 and 3408.

LCM(3403,3408) = 24×31×411×711×831
LCM(3403,3408) = 11597424

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1, 41, 83, 3403

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

Least Common Multiple of 3403 and 3408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3403 and 3408, than apply into the LCM equation.

GCF(3403,3408) = 1
LCM(3403,3408) = ( 3403 × 3408) / 1
LCM(3403,3408) = 11597424 / 1
LCM(3403,3408) = 11597424

Properties of LCM 3403 and 3408

(i) The LCM of 3408 and 3403 is associative

LCM of 3403 and 3408 = LCM of 3408 and 3403

Related Least Common Multiples of 3403

Related Least Common Multiples of 3408

Frequently Asked Questions on LCM of 3403 and 3408

1. What is the LCM of 3403 and 3408?

Answer: LCM of 3403 and 3408 is 11597424.

2. What are the Factors of 3403?

Answer: Factors of 3403 are 1, 41, 83, 3403. There are 4 integers that are factors of 3403. The greatest factor of 3403 is 3403.

3. 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.

4. How to Find the LCM of 3403 and 3408?

Answer:

Least Common Multiple of 3403 and 3408 = 11597424

Step 1: Find the prime factorization of 3403

3403 = 41 x 83

Step 2: Find the prime factorization of 3408

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

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

LCM = 11597424 = 2 x 2 x 2 x 2 x 3 x 41 x 71 x 83

Step 4: Therefore, the least common multiple of 3403 and 3408 is 11597424.