Least Common Multiple of 3384 and 3391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3384 and 3391 the smallest integer that is 11475144 that is divisible by both numbers.

Least Common Multiple (LCM) of 3384 and 3391 is 11475144.

LCM(3384,3391) = 11475144

LCM of 3384 and 3391

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

LCM of:
and

Least Common Multiple of 3384 and 3391

LCM of 3384 and 3391 is 11475144

Least common multiple can be found by multiplying the highest exponent prime factors of 3384 and 3391. First we will calculate the prime factors of 3384 and 3391.

Prime Factorization of 3384


2 3384
2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 3384 are 2, 3,47. Prime factorization of 3384 in exponential form is:

3384 = 23×32×471

Prime Factorization of 3391


3391 3391
1

Prime factors of 3391 are 3391. Prime factorization of 3391 in exponential form is:

3391 = 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 3384 and 3391.

LCM(3384,3391) = 23×32×471×33911
LCM(3384,3391) = 11475144

Factors of 3384

List of positive integer factors of 3384 that divides 3384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384

Factors of 3391

List of positive integer factors of 3391 that divides 3391 without a remainder.

1, 3391

Least Common Multiple of 3384 and 3391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3384 and 3391, than apply into the LCM equation.

GCF(3384,3391) = 1
LCM(3384,3391) = ( 3384 × 3391) / 1
LCM(3384,3391) = 11475144 / 1
LCM(3384,3391) = 11475144

Properties of LCM 3384 and 3391

(i) The LCM of 3391 and 3384 is associative

LCM of 3384 and 3391 = LCM of 3391 and 3384

Related Least Common Multiples of 3384

Related Least Common Multiples of 3391

Frequently Asked Questions on LCM of 3384 and 3391

1. What is the LCM of 3384 and 3391?

Answer: LCM of 3384 and 3391 is 11475144.

2. What are the Factors of 3384?

Answer: Factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384. There are 24 integers that are factors of 3384. The greatest factor of 3384 is 3384.

3. What are the Factors of 3391?

Answer: Factors of 3391 are 1, 3391. There are 2 integers that are factors of 3391. The greatest factor of 3391 is 3391.

4. How to Find the LCM of 3384 and 3391?

Answer:

Least Common Multiple of 3384 and 3391 = 11475144

Step 1: Find the prime factorization of 3384

3384 = 2 x 2 x 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 3391

3391 = 3391

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

LCM = 11475144 = 2 x 2 x 2 x 3 x 3 x 47 x 3391

Step 4: Therefore, the least common multiple of 3384 and 3391 is 11475144.