Least Common Multiple of 1335 and 1337

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 1337 the smallest integer that is 1784895 that is divisible by both numbers.

Least Common Multiple (LCM) of 1335 and 1337 is 1784895.

LCM(1335,1337) = 1784895

LCM of 1335 and 1337

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

LCM of:
and

Least Common Multiple of 1335 and 1337

LCM of 1335 and 1337 is 1784895

Least common multiple can be found by multiplying the highest exponent prime factors of 1335 and 1337. First we will calculate the prime factors of 1335 and 1337.

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 1337


7 1337
191 191
1

Prime factors of 1337 are 7,191. Prime factorization of 1337 in exponential form is:

1337 = 71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1335 and 1337.

LCM(1335,1337) = 31×51×71×891×1911
LCM(1335,1337) = 1784895

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 1337

List of positive integer factors of 1337 that divides 1337 without a remainder.

1, 7, 191, 1337

Least Common Multiple of 1335 and 1337 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 1337, than apply into the LCM equation.

GCF(1335,1337) = 1
LCM(1335,1337) = ( 1335 × 1337) / 1
LCM(1335,1337) = 1784895 / 1
LCM(1335,1337) = 1784895

Properties of LCM 1335 and 1337

(i) The LCM of 1337 and 1335 is associative

LCM of 1335 and 1337 = LCM of 1337 and 1335

Related Least Common Multiples of 1335

Related Least Common Multiples of 1337

Frequently Asked Questions on LCM of 1335 and 1337

1. What is the LCM of 1335 and 1337?

Answer: LCM of 1335 and 1337 is 1784895.

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 1337?

Answer: Factors of 1337 are 1, 7, 191, 1337. There are 4 integers that are factors of 1337. The greatest factor of 1337 is 1337.

4. How to Find the LCM of 1335 and 1337?

Answer:

Least Common Multiple of 1335 and 1337 = 1784895

Step 1: Find the prime factorization of 1335

1335 = 3 x 5 x 89

Step 2: Find the prime factorization of 1337

1337 = 7 x 191

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

LCM = 1784895 = 3 x 5 x 7 x 89 x 191

Step 4: Therefore, the least common multiple of 1335 and 1337 is 1784895.