Least Common Multiple of 1335 and 1340

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 1340 the smallest integer that is 357780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1335 and 1340 is 357780.

LCM(1335,1340) = 357780

LCM of 1335 and 1340

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

LCM of:
and

Least Common Multiple of 1335 and 1340

LCM of 1335 and 1340 is 357780

Least common multiple can be found by multiplying the highest exponent prime factors of 1335 and 1340. First we will calculate the prime factors of 1335 and 1340.

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 1340


2 1340
2 670
5 335
67 67
1

Prime factors of 1340 are 2, 5,67. Prime factorization of 1340 in exponential form is:

1340 = 22×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1335 and 1340.

LCM(1335,1340) = 22×31×51×671×891
LCM(1335,1340) = 357780

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 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340

Least Common Multiple of 1335 and 1340 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 1340, than apply into the LCM equation.

GCF(1335,1340) = 5
LCM(1335,1340) = ( 1335 × 1340) / 5
LCM(1335,1340) = 1788900 / 5
LCM(1335,1340) = 357780

Properties of LCM 1335 and 1340

(i) The LCM of 1340 and 1335 is associative

LCM of 1335 and 1340 = LCM of 1340 and 1335

Related Least Common Multiples of 1335

Related Least Common Multiples of 1340

Frequently Asked Questions on LCM of 1335 and 1340

1. What is the LCM of 1335 and 1340?

Answer: LCM of 1335 and 1340 is 357780.

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 1340?

Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.

4. How to Find the LCM of 1335 and 1340?

Answer:

Least Common Multiple of 1335 and 1340 = 357780

Step 1: Find the prime factorization of 1335

1335 = 3 x 5 x 89

Step 2: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

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

LCM = 357780 = 2 x 2 x 3 x 5 x 67 x 89

Step 4: Therefore, the least common multiple of 1335 and 1340 is 357780.