Least Common Multiple of 3352 and 3360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3352 and 3360 the smallest integer that is 1407840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3352 and 3360 is 1407840.

LCM(3352,3360) = 1407840

LCM of 3352 and 3360

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

LCM of:
and

Least Common Multiple of 3352 and 3360

LCM of 3352 and 3360 is 1407840

Least common multiple can be found by multiplying the highest exponent prime factors of 3352 and 3360. First we will calculate the prime factors of 3352 and 3360.

Prime Factorization of 3352


2 3352
2 1676
2 838
419 419
1

Prime factors of 3352 are 2,419. Prime factorization of 3352 in exponential form is:

3352 = 23×4191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3352 and 3360.

LCM(3352,3360) = 25×31×51×71×4191
LCM(3352,3360) = 1407840

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1, 2, 4, 8, 419, 838, 1676, 3352

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

Least Common Multiple of 3352 and 3360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3352 and 3360, than apply into the LCM equation.

GCF(3352,3360) = 8
LCM(3352,3360) = ( 3352 × 3360) / 8
LCM(3352,3360) = 11262720 / 8
LCM(3352,3360) = 1407840

Properties of LCM 3352 and 3360

(i) The LCM of 3360 and 3352 is associative

LCM of 3352 and 3360 = LCM of 3360 and 3352

Related Least Common Multiples of 3352

Related Least Common Multiples of 3360

Frequently Asked Questions on LCM of 3352 and 3360

1. What is the LCM of 3352 and 3360?

Answer: LCM of 3352 and 3360 is 1407840.

2. What are the Factors of 3352?

Answer: Factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352. There are 8 integers that are factors of 3352. The greatest factor of 3352 is 3352.

3. 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.

4. How to Find the LCM of 3352 and 3360?

Answer:

Least Common Multiple of 3352 and 3360 = 1407840

Step 1: Find the prime factorization of 3352

3352 = 2 x 2 x 2 x 419

Step 2: Find the prime factorization of 3360

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

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

LCM = 1407840 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 419

Step 4: Therefore, the least common multiple of 3352 and 3360 is 1407840.