Least Common Multiple of 3368 and 3371

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 3371 the smallest integer that is 11353528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3368 and 3371 is 11353528.

LCM(3368,3371) = 11353528

LCM of 3368 and 3371

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

LCM of:
and

Least Common Multiple of 3368 and 3371

LCM of 3368 and 3371 is 11353528

Least common multiple can be found by multiplying the highest exponent prime factors of 3368 and 3371. First we will calculate the prime factors of 3368 and 3371.

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 3371


3371 3371
1

Prime factors of 3371 are 3371. Prime factorization of 3371 in exponential form is:

3371 = 33711

Now multiplying the highest exponent prime factors to calculate the LCM of 3368 and 3371.

LCM(3368,3371) = 23×4211×33711
LCM(3368,3371) = 11353528

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 3371

List of positive integer factors of 3371 that divides 3371 without a remainder.

1, 3371

Least Common Multiple of 3368 and 3371 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 3371, than apply into the LCM equation.

GCF(3368,3371) = 1
LCM(3368,3371) = ( 3368 × 3371) / 1
LCM(3368,3371) = 11353528 / 1
LCM(3368,3371) = 11353528

Properties of LCM 3368 and 3371

(i) The LCM of 3371 and 3368 is associative

LCM of 3368 and 3371 = LCM of 3371 and 3368

Related Least Common Multiples of 3368

Related Least Common Multiples of 3371

Frequently Asked Questions on LCM of 3368 and 3371

1. What is the LCM of 3368 and 3371?

Answer: LCM of 3368 and 3371 is 11353528.

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 3371?

Answer: Factors of 3371 are 1, 3371. There are 2 integers that are factors of 3371. The greatest factor of 3371 is 3371.

4. How to Find the LCM of 3368 and 3371?

Answer:

Least Common Multiple of 3368 and 3371 = 11353528

Step 1: Find the prime factorization of 3368

3368 = 2 x 2 x 2 x 421

Step 2: Find the prime factorization of 3371

3371 = 3371

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

LCM = 11353528 = 2 x 2 x 2 x 421 x 3371

Step 4: Therefore, the least common multiple of 3368 and 3371 is 11353528.