Least Common Multiple of 3380 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 3380 and 3384 the smallest integer that is 2859480 that is divisible by both numbers.

Least Common Multiple (LCM) of 3380 and 3384 is 2859480.

LCM(3380,3384) = 2859480

LCM of 3380 and 3384

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

LCM of:
and

Least Common Multiple of 3380 and 3384

LCM of 3380 and 3384 is 2859480

Least common multiple can be found by multiplying the highest exponent prime factors of 3380 and 3384. First we will calculate the prime factors of 3380 and 3384.

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2, 5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

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 3380 and 3384.

LCM(3380,3384) = 23×32×51×132×471
LCM(3380,3384) = 2859480

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

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 3380 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 3380 and 3384, than apply into the LCM equation.

GCF(3380,3384) = 4
LCM(3380,3384) = ( 3380 × 3384) / 4
LCM(3380,3384) = 11437920 / 4
LCM(3380,3384) = 2859480

Properties of LCM 3380 and 3384

(i) The LCM of 3384 and 3380 is associative

LCM of 3380 and 3384 = LCM of 3384 and 3380

Related Least Common Multiples of 3380

Related Least Common Multiples of 3384

Frequently Asked Questions on LCM of 3380 and 3384

1. What is the LCM of 3380 and 3384?

Answer: LCM of 3380 and 3384 is 2859480.

2. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

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 3380 and 3384?

Answer:

Least Common Multiple of 3380 and 3384 = 2859480

Step 1: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

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 = 2859480 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 13 x 47

Step 4: Therefore, the least common multiple of 3380 and 3384 is 2859480.