Least Common Multiple of 3399 and 3402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3399 and 3402 the smallest integer that is 3854466 that is divisible by both numbers.

Least Common Multiple (LCM) of 3399 and 3402 is 3854466.

LCM(3399,3402) = 3854466

LCM of 3399 and 3402

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

LCM of:
and

Least Common Multiple of 3399 and 3402

LCM of 3399 and 3402 is 3854466

Least common multiple can be found by multiplying the highest exponent prime factors of 3399 and 3402. First we will calculate the prime factors of 3399 and 3402.

Prime Factorization of 3399


3 3399
11 1133
103 103
1

Prime factors of 3399 are 3, 11,103. Prime factorization of 3399 in exponential form is:

3399 = 31×111×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3399 and 3402.

LCM(3399,3402) = 21×35×71×111×1031
LCM(3399,3402) = 3854466

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1, 3, 11, 33, 103, 309, 1133, 3399

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

Least Common Multiple of 3399 and 3402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3399 and 3402, than apply into the LCM equation.

GCF(3399,3402) = 3
LCM(3399,3402) = ( 3399 × 3402) / 3
LCM(3399,3402) = 11563398 / 3
LCM(3399,3402) = 3854466

Properties of LCM 3399 and 3402

(i) The LCM of 3402 and 3399 is associative

LCM of 3399 and 3402 = LCM of 3402 and 3399

Related Least Common Multiples of 3399

Related Least Common Multiples of 3402

Frequently Asked Questions on LCM of 3399 and 3402

1. What is the LCM of 3399 and 3402?

Answer: LCM of 3399 and 3402 is 3854466.

2. What are the Factors of 3399?

Answer: Factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399. There are 8 integers that are factors of 3399. The greatest factor of 3399 is 3399.

3. 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.

4. How to Find the LCM of 3399 and 3402?

Answer:

Least Common Multiple of 3399 and 3402 = 3854466

Step 1: Find the prime factorization of 3399

3399 = 3 x 11 x 103

Step 2: Find the prime factorization of 3402

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

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

LCM = 3854466 = 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 3399 and 3402 is 3854466.