Least Common Multiple of 3402 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 3402 and 3408 the smallest integer that is 1932336 that is divisible by both numbers.

Least Common Multiple (LCM) of 3402 and 3408 is 1932336.

LCM(3402,3408) = 1932336

LCM of 3402 and 3408

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

LCM of:
and

Least Common Multiple of 3402 and 3408

LCM of 3402 and 3408 is 1932336

Least common multiple can be found by multiplying the highest exponent prime factors of 3402 and 3408. First we will calculate the prime factors of 3402 and 3408.

Prime Factorization of 3402


2 3402
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 3402 are 2, 3,7. Prime factorization of 3402 in exponential form is:

3402 = 21×35×71

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 3402 and 3408.

LCM(3402,3408) = 24×35×71×711
LCM(3402,3408) = 1932336

Factors of 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402

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 3402 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 3402 and 3408, than apply into the LCM equation.

GCF(3402,3408) = 6
LCM(3402,3408) = ( 3402 × 3408) / 6
LCM(3402,3408) = 11594016 / 6
LCM(3402,3408) = 1932336

Properties of LCM 3402 and 3408

(i) The LCM of 3408 and 3402 is associative

LCM of 3402 and 3408 = LCM of 3408 and 3402

Related Least Common Multiples of 3402

Related Least Common Multiples of 3408

Frequently Asked Questions on LCM of 3402 and 3408

1. What is the LCM of 3402 and 3408?

Answer: LCM of 3402 and 3408 is 1932336.

2. What are the Factors of 3402?

Answer: Factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402. There are 24 integers that are factors of 3402. The greatest factor of 3402 is 3402.

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 3402 and 3408?

Answer:

Least Common Multiple of 3402 and 3408 = 1932336

Step 1: Find the prime factorization of 3402

3402 = 2 x 3 x 3 x 3 x 3 x 3 x 7

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 = 1932336 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 71

Step 4: Therefore, the least common multiple of 3402 and 3408 is 1932336.