Least Common Multiple of 335 and 337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 335 and 337 the smallest integer that is 112895 that is divisible by both numbers.

Least Common Multiple (LCM) of 335 and 337 is 112895.

LCM(335,337) = 112895

LCM of 335 and 337

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

LCM of:
and

Least Common Multiple of 335 and 337

LCM of 335 and 337 is 112895

Least common multiple can be found by multiplying the highest exponent prime factors of 335 and 337. First we will calculate the prime factors of 335 and 337.

Prime Factorization of 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

Prime Factorization of 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 335 and 337.

LCM(335,337) = 51×671×3371
LCM(335,337) = 112895

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1, 337

Least Common Multiple of 335 and 337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 335 and 337, than apply into the LCM equation.

GCF(335,337) = 1
LCM(335,337) = ( 335 × 337) / 1
LCM(335,337) = 112895 / 1
LCM(335,337) = 112895

Properties of LCM 335 and 337

(i) The LCM of 337 and 335 is associative

LCM of 335 and 337 = LCM of 337 and 335

Related Least Common Multiples of 335

Related Least Common Multiples of 337

Frequently Asked Questions on LCM of 335 and 337

1. What is the LCM of 335 and 337?

Answer: LCM of 335 and 337 is 112895.

2. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

3. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

4. How to Find the LCM of 335 and 337?

Answer:

Least Common Multiple of 335 and 337 = 112895

Step 1: Find the prime factorization of 335

335 = 5 x 67

Step 2: Find the prime factorization of 337

337 = 337

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

LCM = 112895 = 5 x 67 x 337

Step 4: Therefore, the least common multiple of 335 and 337 is 112895.