Least Common Multiple of 3365 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 3365 and 3372 the smallest integer that is 11346780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3365 and 3372 is 11346780.

LCM(3365,3372) = 11346780

LCM of 3365 and 3372

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

LCM of:
and

Least Common Multiple of 3365 and 3372

LCM of 3365 and 3372 is 11346780

Least common multiple can be found by multiplying the highest exponent prime factors of 3365 and 3372. First we will calculate the prime factors of 3365 and 3372.

Prime Factorization of 3365


5 3365
673 673
1

Prime factors of 3365 are 5,673. Prime factorization of 3365 in exponential form is:

3365 = 51×6731

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 3365 and 3372.

LCM(3365,3372) = 22×31×51×2811×6731
LCM(3365,3372) = 11346780

Factors of 3365

List of positive integer factors of 3365 that divides 3365 without a remainder.

1, 5, 673, 3365

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 3365 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 3365 and 3372, than apply into the LCM equation.

GCF(3365,3372) = 1
LCM(3365,3372) = ( 3365 × 3372) / 1
LCM(3365,3372) = 11346780 / 1
LCM(3365,3372) = 11346780

Properties of LCM 3365 and 3372

(i) The LCM of 3372 and 3365 is associative

LCM of 3365 and 3372 = LCM of 3372 and 3365

Related Least Common Multiples of 3365

Related Least Common Multiples of 3372

Frequently Asked Questions on LCM of 3365 and 3372

1. What is the LCM of 3365 and 3372?

Answer: LCM of 3365 and 3372 is 11346780.

2. What are the Factors of 3365?

Answer: Factors of 3365 are 1, 5, 673, 3365. There are 4 integers that are factors of 3365. The greatest factor of 3365 is 3365.

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 3365 and 3372?

Answer:

Least Common Multiple of 3365 and 3372 = 11346780

Step 1: Find the prime factorization of 3365

3365 = 5 x 673

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 = 11346780 = 2 x 2 x 3 x 5 x 281 x 673

Step 4: Therefore, the least common multiple of 3365 and 3372 is 11346780.