Least Common Multiple of 13355 and 13360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13355 and 13360 the smallest integer that is 35684560 that is divisible by both numbers.

Least Common Multiple (LCM) of 13355 and 13360 is 35684560.

LCM(13355,13360) = 35684560

LCM of 13355 and 13360

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

LCM of:
and

Least Common Multiple of 13355 and 13360

LCM of 13355 and 13360 is 35684560

Least common multiple can be found by multiplying the highest exponent prime factors of 13355 and 13360. First we will calculate the prime factors of 13355 and 13360.

Prime Factorization of 13355


5 13355
2671 2671
1

Prime factors of 13355 are 5,2671. Prime factorization of 13355 in exponential form is:

13355 = 51×26711

Prime Factorization of 13360


2 13360
2 6680
2 3340
2 1670
5 835
167 167
1

Prime factors of 13360 are 2, 5,167. Prime factorization of 13360 in exponential form is:

13360 = 24×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13355 and 13360.

LCM(13355,13360) = 24×51×1671×26711
LCM(13355,13360) = 35684560

Factors of 13355

List of positive integer factors of 13355 that divides 13355 without a remainder.

1, 5, 2671, 13355

Factors of 13360

List of positive integer factors of 13360 that divides 13360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 6680, 13360

Least Common Multiple of 13355 and 13360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13355 and 13360, than apply into the LCM equation.

GCF(13355,13360) = 5
LCM(13355,13360) = ( 13355 × 13360) / 5
LCM(13355,13360) = 178422800 / 5
LCM(13355,13360) = 35684560

Properties of LCM 13355 and 13360

(i) The LCM of 13360 and 13355 is associative

LCM of 13355 and 13360 = LCM of 13360 and 13355

Related Least Common Multiples of 13355

Related Least Common Multiples of 13360

Frequently Asked Questions on LCM of 13355 and 13360

1. What is the LCM of 13355 and 13360?

Answer: LCM of 13355 and 13360 is 35684560.

2. What are the Factors of 13355?

Answer: Factors of 13355 are 1, 5, 2671, 13355. There are 4 integers that are factors of 13355. The greatest factor of 13355 is 13355.

3. What are the Factors of 13360?

Answer: Factors of 13360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 6680, 13360. There are 20 integers that are factors of 13360. The greatest factor of 13360 is 13360.

4. How to Find the LCM of 13355 and 13360?

Answer:

Least Common Multiple of 13355 and 13360 = 35684560

Step 1: Find the prime factorization of 13355

13355 = 5 x 2671

Step 2: Find the prime factorization of 13360

13360 = 2 x 2 x 2 x 2 x 5 x 167

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

LCM = 35684560 = 2 x 2 x 2 x 2 x 5 x 167 x 2671

Step 4: Therefore, the least common multiple of 13355 and 13360 is 35684560.