Least Common Multiple of 3369 and 3377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3369 and 3377 the smallest integer that is 11377113 that is divisible by both numbers.

Least Common Multiple (LCM) of 3369 and 3377 is 11377113.

LCM(3369,3377) = 11377113

LCM of 3369 and 3377

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

LCM of:
and

Least Common Multiple of 3369 and 3377

LCM of 3369 and 3377 is 11377113

Least common multiple can be found by multiplying the highest exponent prime factors of 3369 and 3377. First we will calculate the prime factors of 3369 and 3377.

Prime Factorization of 3369


3 3369
1123 1123
1

Prime factors of 3369 are 3,1123. Prime factorization of 3369 in exponential form is:

3369 = 31×11231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3369 and 3377.

LCM(3369,3377) = 31×111×3071×11231
LCM(3369,3377) = 11377113

Factors of 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1, 3, 1123, 3369

Factors of 3377

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

1, 11, 307, 3377

Least Common Multiple of 3369 and 3377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3369 and 3377, than apply into the LCM equation.

GCF(3369,3377) = 1
LCM(3369,3377) = ( 3369 × 3377) / 1
LCM(3369,3377) = 11377113 / 1
LCM(3369,3377) = 11377113

Properties of LCM 3369 and 3377

(i) The LCM of 3377 and 3369 is associative

LCM of 3369 and 3377 = LCM of 3377 and 3369

Related Least Common Multiples of 3369

Related Least Common Multiples of 3377

Frequently Asked Questions on LCM of 3369 and 3377

1. What is the LCM of 3369 and 3377?

Answer: LCM of 3369 and 3377 is 11377113.

2. What are the Factors of 3369?

Answer: Factors of 3369 are 1, 3, 1123, 3369. There are 4 integers that are factors of 3369. The greatest factor of 3369 is 3369.

3. 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.

4. How to Find the LCM of 3369 and 3377?

Answer:

Least Common Multiple of 3369 and 3377 = 11377113

Step 1: Find the prime factorization of 3369

3369 = 3 x 1123

Step 2: Find the prime factorization of 3377

3377 = 11 x 307

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

LCM = 11377113 = 3 x 11 x 307 x 1123

Step 4: Therefore, the least common multiple of 3369 and 3377 is 11377113.