Least Common Multiple of 3368 and 3372

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 3372 the smallest integer that is 2839224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3368 and 3372 is 2839224.

LCM(3368,3372) = 2839224

LCM of 3368 and 3372

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

LCM of:
and

Least Common Multiple of 3368 and 3372

LCM of 3368 and 3372 is 2839224

Least common multiple can be found by multiplying the highest exponent prime factors of 3368 and 3372. First we will calculate the prime factors of 3368 and 3372.

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 3372


2 3372
2 1686
3 843
281 281
1

Prime factors of 3372 are 2, 3,281. Prime factorization of 3372 in exponential form is:

3372 = 22×31×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 3368 and 3372.

LCM(3368,3372) = 23×31×2811×4211
LCM(3368,3372) = 2839224

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 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372

Least Common Multiple of 3368 and 3372 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 3372, than apply into the LCM equation.

GCF(3368,3372) = 4
LCM(3368,3372) = ( 3368 × 3372) / 4
LCM(3368,3372) = 11356896 / 4
LCM(3368,3372) = 2839224

Properties of LCM 3368 and 3372

(i) The LCM of 3372 and 3368 is associative

LCM of 3368 and 3372 = LCM of 3372 and 3368

Related Least Common Multiples of 3368

Related Least Common Multiples of 3372

Frequently Asked Questions on LCM of 3368 and 3372

1. What is the LCM of 3368 and 3372?

Answer: LCM of 3368 and 3372 is 2839224.

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 3372?

Answer: Factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372. There are 12 integers that are factors of 3372. The greatest factor of 3372 is 3372.

4. How to Find the LCM of 3368 and 3372?

Answer:

Least Common Multiple of 3368 and 3372 = 2839224

Step 1: Find the prime factorization of 3368

3368 = 2 x 2 x 2 x 421

Step 2: Find the prime factorization of 3372

3372 = 2 x 2 x 3 x 281

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

LCM = 2839224 = 2 x 2 x 2 x 3 x 281 x 421

Step 4: Therefore, the least common multiple of 3368 and 3372 is 2839224.