Least Common Multiple of 3368 and 3374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3368 and 3374 the smallest integer that is 5681816 that is divisible by both numbers.

Least Common Multiple (LCM) of 3368 and 3374 is 5681816.

LCM(3368,3374) = 5681816

LCM of 3368 and 3374

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

LCM of:
and

Least Common Multiple of 3368 and 3374

LCM of 3368 and 3374 is 5681816

Least common multiple can be found by multiplying the highest exponent prime factors of 3368 and 3374. First we will calculate the prime factors of 3368 and 3374.

Prime Factorization of 3368


2 3368
2 1684
2 842
421 421
1

Prime factors of 3368 are 2,421. Prime factorization of 3368 in exponential form is:

3368 = 23×4211

Prime Factorization of 3374


2 3374
7 1687
241 241
1

Prime factors of 3374 are 2, 7,241. Prime factorization of 3374 in exponential form is:

3374 = 21×71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3368 and 3374.

LCM(3368,3374) = 23×71×2411×4211
LCM(3368,3374) = 5681816

Factors of 3368

List of positive integer factors of 3368 that divides 3368 without a remainder.

1, 2, 4, 8, 421, 842, 1684, 3368

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1, 2, 7, 14, 241, 482, 1687, 3374

Least Common Multiple of 3368 and 3374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3368 and 3374, than apply into the LCM equation.

GCF(3368,3374) = 2
LCM(3368,3374) = ( 3368 × 3374) / 2
LCM(3368,3374) = 11363632 / 2
LCM(3368,3374) = 5681816

Properties of LCM 3368 and 3374

(i) The LCM of 3374 and 3368 is associative

LCM of 3368 and 3374 = LCM of 3374 and 3368

Related Least Common Multiples of 3368

Related Least Common Multiples of 3374

Frequently Asked Questions on LCM of 3368 and 3374

1. What is the LCM of 3368 and 3374?

Answer: LCM of 3368 and 3374 is 5681816.

2. What are the Factors of 3368?

Answer: Factors of 3368 are 1, 2, 4, 8, 421, 842, 1684, 3368. There are 8 integers that are factors of 3368. The greatest factor of 3368 is 3368.

3. What are the Factors of 3374?

Answer: Factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374. There are 8 integers that are factors of 3374. The greatest factor of 3374 is 3374.

4. How to Find the LCM of 3368 and 3374?

Answer:

Least Common Multiple of 3368 and 3374 = 5681816

Step 1: Find the prime factorization of 3368

3368 = 2 x 2 x 2 x 421

Step 2: Find the prime factorization of 3374

3374 = 2 x 7 x 241

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

LCM = 5681816 = 2 x 2 x 2 x 7 x 241 x 421

Step 4: Therefore, the least common multiple of 3368 and 3374 is 5681816.