Least Common Multiple of 1335 and 1336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1335 and 1336 the smallest integer that is 1783560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1335 and 1336 is 1783560.

LCM(1335,1336) = 1783560

LCM of 1335 and 1336

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

LCM of:
and

Least Common Multiple of 1335 and 1336

LCM of 1335 and 1336 is 1783560

Least common multiple can be found by multiplying the highest exponent prime factors of 1335 and 1336. First we will calculate the prime factors of 1335 and 1336.

Prime Factorization of 1335


3 1335
5 445
89 89
1

Prime factors of 1335 are 3, 5,89. Prime factorization of 1335 in exponential form is:

1335 = 31×51×891

Prime Factorization of 1336


2 1336
2 668
2 334
167 167
1

Prime factors of 1336 are 2,167. Prime factorization of 1336 in exponential form is:

1336 = 23×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1335 and 1336.

LCM(1335,1336) = 23×31×51×891×1671
LCM(1335,1336) = 1783560

Factors of 1335

List of positive integer factors of 1335 that divides 1335 without a remainder.

1, 3, 5, 15, 89, 267, 445, 1335

Factors of 1336

List of positive integer factors of 1336 that divides 1336 without a remainder.

1, 2, 4, 8, 167, 334, 668, 1336

Least Common Multiple of 1335 and 1336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1335 and 1336, than apply into the LCM equation.

GCF(1335,1336) = 1
LCM(1335,1336) = ( 1335 × 1336) / 1
LCM(1335,1336) = 1783560 / 1
LCM(1335,1336) = 1783560

Properties of LCM 1335 and 1336

(i) The LCM of 1336 and 1335 is associative

LCM of 1335 and 1336 = LCM of 1336 and 1335

Related Least Common Multiples of 1335

Related Least Common Multiples of 1336

Frequently Asked Questions on LCM of 1335 and 1336

1. What is the LCM of 1335 and 1336?

Answer: LCM of 1335 and 1336 is 1783560.

2. What are the Factors of 1335?

Answer: Factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335. There are 8 integers that are factors of 1335. The greatest factor of 1335 is 1335.

3. What are the Factors of 1336?

Answer: Factors of 1336 are 1, 2, 4, 8, 167, 334, 668, 1336. There are 8 integers that are factors of 1336. The greatest factor of 1336 is 1336.

4. How to Find the LCM of 1335 and 1336?

Answer:

Least Common Multiple of 1335 and 1336 = 1783560

Step 1: Find the prime factorization of 1335

1335 = 3 x 5 x 89

Step 2: Find the prime factorization of 1336

1336 = 2 x 2 x 2 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 = 1783560 = 2 x 2 x 2 x 3 x 5 x 89 x 167

Step 4: Therefore, the least common multiple of 1335 and 1336 is 1783560.