Least Common Multiple of 3371 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 3371 and 3372 the smallest integer that is 11367012 that is divisible by both numbers.

Least Common Multiple (LCM) of 3371 and 3372 is 11367012.

LCM(3371,3372) = 11367012

LCM of 3371 and 3372

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

LCM of:
and

Least Common Multiple of 3371 and 3372

LCM of 3371 and 3372 is 11367012

Least common multiple can be found by multiplying the highest exponent prime factors of 3371 and 3372. First we will calculate the prime factors of 3371 and 3372.

Prime Factorization of 3371


3371 3371
1

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

3371 = 33711

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 3371 and 3372.

LCM(3371,3372) = 22×31×2811×33711
LCM(3371,3372) = 11367012

Factors of 3371

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

1, 3371

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 3371 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 3371 and 3372, than apply into the LCM equation.

GCF(3371,3372) = 1
LCM(3371,3372) = ( 3371 × 3372) / 1
LCM(3371,3372) = 11367012 / 1
LCM(3371,3372) = 11367012

Properties of LCM 3371 and 3372

(i) The LCM of 3372 and 3371 is associative

LCM of 3371 and 3372 = LCM of 3372 and 3371

Related Least Common Multiples of 3371

Related Least Common Multiples of 3372

Frequently Asked Questions on LCM of 3371 and 3372

1. What is the LCM of 3371 and 3372?

Answer: LCM of 3371 and 3372 is 11367012.

2. 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.

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 3371 and 3372?

Answer:

Least Common Multiple of 3371 and 3372 = 11367012

Step 1: Find the prime factorization of 3371

3371 = 3371

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 = 11367012 = 2 x 2 x 3 x 281 x 3371

Step 4: Therefore, the least common multiple of 3371 and 3372 is 11367012.