Least Common Multiple of 3378 and 3384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3378 and 3384 the smallest integer that is 1905192 that is divisible by both numbers.

Least Common Multiple (LCM) of 3378 and 3384 is 1905192.

LCM(3378,3384) = 1905192

LCM of 3378 and 3384

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

LCM of:
and

Least Common Multiple of 3378 and 3384

LCM of 3378 and 3384 is 1905192

Least common multiple can be found by multiplying the highest exponent prime factors of 3378 and 3384. First we will calculate the prime factors of 3378 and 3384.

Prime Factorization of 3378


2 3378
3 1689
563 563
1

Prime factors of 3378 are 2, 3,563. Prime factorization of 3378 in exponential form is:

3378 = 21×31×5631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3378 and 3384.

LCM(3378,3384) = 23×32×471×5631
LCM(3378,3384) = 1905192

Factors of 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1, 2, 3, 6, 563, 1126, 1689, 3378

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

Least Common Multiple of 3378 and 3384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3378 and 3384, than apply into the LCM equation.

GCF(3378,3384) = 6
LCM(3378,3384) = ( 3378 × 3384) / 6
LCM(3378,3384) = 11431152 / 6
LCM(3378,3384) = 1905192

Properties of LCM 3378 and 3384

(i) The LCM of 3384 and 3378 is associative

LCM of 3378 and 3384 = LCM of 3384 and 3378

Related Least Common Multiples of 3378

Related Least Common Multiples of 3384

Frequently Asked Questions on LCM of 3378 and 3384

1. What is the LCM of 3378 and 3384?

Answer: LCM of 3378 and 3384 is 1905192.

2. What are the Factors of 3378?

Answer: Factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378. There are 8 integers that are factors of 3378. The greatest factor of 3378 is 3378.

3. 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.

4. How to Find the LCM of 3378 and 3384?

Answer:

Least Common Multiple of 3378 and 3384 = 1905192

Step 1: Find the prime factorization of 3378

3378 = 2 x 3 x 563

Step 2: Find the prime factorization of 3384

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

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

LCM = 1905192 = 2 x 2 x 2 x 3 x 3 x 47 x 563

Step 4: Therefore, the least common multiple of 3378 and 3384 is 1905192.