Least Common Multiple of 3365 and 3370

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 3370 the smallest integer that is 2268010 that is divisible by both numbers.

Least Common Multiple (LCM) of 3365 and 3370 is 2268010.

LCM(3365,3370) = 2268010

LCM of 3365 and 3370

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

LCM of:
and

Least Common Multiple of 3365 and 3370

LCM of 3365 and 3370 is 2268010

Least common multiple can be found by multiplying the highest exponent prime factors of 3365 and 3370. First we will calculate the prime factors of 3365 and 3370.

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 3370


2 3370
5 1685
337 337
1

Prime factors of 3370 are 2, 5,337. Prime factorization of 3370 in exponential form is:

3370 = 21×51×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 3365 and 3370.

LCM(3365,3370) = 21×51×3371×6731
LCM(3365,3370) = 2268010

Factors of 3365

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

1, 5, 673, 3365

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1, 2, 5, 10, 337, 674, 1685, 3370

Least Common Multiple of 3365 and 3370 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 3370, than apply into the LCM equation.

GCF(3365,3370) = 5
LCM(3365,3370) = ( 3365 × 3370) / 5
LCM(3365,3370) = 11340050 / 5
LCM(3365,3370) = 2268010

Properties of LCM 3365 and 3370

(i) The LCM of 3370 and 3365 is associative

LCM of 3365 and 3370 = LCM of 3370 and 3365

Related Least Common Multiples of 3365

Related Least Common Multiples of 3370

Frequently Asked Questions on LCM of 3365 and 3370

1. What is the LCM of 3365 and 3370?

Answer: LCM of 3365 and 3370 is 2268010.

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 3370?

Answer: Factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370. There are 8 integers that are factors of 3370. The greatest factor of 3370 is 3370.

4. How to Find the LCM of 3365 and 3370?

Answer:

Least Common Multiple of 3365 and 3370 = 2268010

Step 1: Find the prime factorization of 3365

3365 = 5 x 673

Step 2: Find the prime factorization of 3370

3370 = 2 x 5 x 337

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

LCM = 2268010 = 2 x 5 x 337 x 673

Step 4: Therefore, the least common multiple of 3365 and 3370 is 2268010.