Least Common Multiple of 3377 and 3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3377 and 3385 the smallest integer that is 11431145 that is divisible by both numbers.

Least Common Multiple (LCM) of 3377 and 3385 is 11431145.

LCM(3377,3385) = 11431145

LCM of 3377 and 3385

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

LCM of:
and

Least Common Multiple of 3377 and 3385

LCM of 3377 and 3385 is 11431145

Least common multiple can be found by multiplying the highest exponent prime factors of 3377 and 3385. First we will calculate the prime factors of 3377 and 3385.

Prime Factorization of 3377


11 3377
307 307
1

Prime factors of 3377 are 11,307. Prime factorization of 3377 in exponential form is:

3377 = 111×3071

Prime Factorization of 3385


5 3385
677 677
1

Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:

3385 = 51×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 3377 and 3385.

LCM(3377,3385) = 51×111×3071×6771
LCM(3377,3385) = 11431145

Factors of 3377

List of positive integer factors of 3377 that divides 3377 without a remainder.

1, 11, 307, 3377

Factors of 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1, 5, 677, 3385

Least Common Multiple of 3377 and 3385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3377 and 3385, than apply into the LCM equation.

GCF(3377,3385) = 1
LCM(3377,3385) = ( 3377 × 3385) / 1
LCM(3377,3385) = 11431145 / 1
LCM(3377,3385) = 11431145

Properties of LCM 3377 and 3385

(i) The LCM of 3385 and 3377 is associative

LCM of 3377 and 3385 = LCM of 3385 and 3377

Related Least Common Multiples of 3377

Related Least Common Multiples of 3385

Frequently Asked Questions on LCM of 3377 and 3385

1. What is the LCM of 3377 and 3385?

Answer: LCM of 3377 and 3385 is 11431145.

2. What are the Factors of 3377?

Answer: Factors of 3377 are 1, 11, 307, 3377. There are 4 integers that are factors of 3377. The greatest factor of 3377 is 3377.

3. What are the Factors of 3385?

Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.

4. How to Find the LCM of 3377 and 3385?

Answer:

Least Common Multiple of 3377 and 3385 = 11431145

Step 1: Find the prime factorization of 3377

3377 = 11 x 307

Step 2: Find the prime factorization of 3385

3385 = 5 x 677

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

LCM = 11431145 = 5 x 11 x 307 x 677

Step 4: Therefore, the least common multiple of 3377 and 3385 is 11431145.