Least Common Multiple of 3360 and 3365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3360 and 3365 the smallest integer that is 2261280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3360 and 3365 is 2261280.

LCM(3360,3365) = 2261280

LCM of 3360 and 3365

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

LCM of:
and

Least Common Multiple of 3360 and 3365

LCM of 3360 and 3365 is 2261280

Least common multiple can be found by multiplying the highest exponent prime factors of 3360 and 3365. First we will calculate the prime factors of 3360 and 3365.

Prime Factorization of 3360


2 3360
2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 3360 are 2, 3, 5,7. Prime factorization of 3360 in exponential form is:

3360 = 25×31×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3360 and 3365.

LCM(3360,3365) = 25×31×51×71×6731
LCM(3360,3365) = 2261280

Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360

Factors of 3365

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

1, 5, 673, 3365

Least Common Multiple of 3360 and 3365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3360 and 3365, than apply into the LCM equation.

GCF(3360,3365) = 5
LCM(3360,3365) = ( 3360 × 3365) / 5
LCM(3360,3365) = 11306400 / 5
LCM(3360,3365) = 2261280

Properties of LCM 3360 and 3365

(i) The LCM of 3365 and 3360 is associative

LCM of 3360 and 3365 = LCM of 3365 and 3360

Related Least Common Multiples of 3360

Related Least Common Multiples of 3365

Frequently Asked Questions on LCM of 3360 and 3365

1. What is the LCM of 3360 and 3365?

Answer: LCM of 3360 and 3365 is 2261280.

2. What are the Factors of 3360?

Answer: Factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. There are 48 integers that are factors of 3360. The greatest factor of 3360 is 3360.

3. 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.

4. How to Find the LCM of 3360 and 3365?

Answer:

Least Common Multiple of 3360 and 3365 = 2261280

Step 1: Find the prime factorization of 3360

3360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 3365

3365 = 5 x 673

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

LCM = 2261280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 673

Step 4: Therefore, the least common multiple of 3360 and 3365 is 2261280.