Least Common Multiple of 3377 and 3383

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 3383 the smallest integer that is 11424391 that is divisible by both numbers.

Least Common Multiple (LCM) of 3377 and 3383 is 11424391.

LCM(3377,3383) = 11424391

LCM of 3377 and 3383

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

LCM of:
and

Least Common Multiple of 3377 and 3383

LCM of 3377 and 3383 is 11424391

Least common multiple can be found by multiplying the highest exponent prime factors of 3377 and 3383. First we will calculate the prime factors of 3377 and 3383.

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 3383


17 3383
199 199
1

Prime factors of 3383 are 17,199. Prime factorization of 3383 in exponential form is:

3383 = 171×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 3377 and 3383.

LCM(3377,3383) = 111×171×1991×3071
LCM(3377,3383) = 11424391

Factors of 3377

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

1, 11, 307, 3377

Factors of 3383

List of positive integer factors of 3383 that divides 3383 without a remainder.

1, 17, 199, 3383

Least Common Multiple of 3377 and 3383 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 3383, than apply into the LCM equation.

GCF(3377,3383) = 1
LCM(3377,3383) = ( 3377 × 3383) / 1
LCM(3377,3383) = 11424391 / 1
LCM(3377,3383) = 11424391

Properties of LCM 3377 and 3383

(i) The LCM of 3383 and 3377 is associative

LCM of 3377 and 3383 = LCM of 3383 and 3377

Related Least Common Multiples of 3377

Related Least Common Multiples of 3383

Frequently Asked Questions on LCM of 3377 and 3383

1. What is the LCM of 3377 and 3383?

Answer: LCM of 3377 and 3383 is 11424391.

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 3383?

Answer: Factors of 3383 are 1, 17, 199, 3383. There are 4 integers that are factors of 3383. The greatest factor of 3383 is 3383.

4. How to Find the LCM of 3377 and 3383?

Answer:

Least Common Multiple of 3377 and 3383 = 11424391

Step 1: Find the prime factorization of 3377

3377 = 11 x 307

Step 2: Find the prime factorization of 3383

3383 = 17 x 199

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

LCM = 11424391 = 11 x 17 x 199 x 307

Step 4: Therefore, the least common multiple of 3377 and 3383 is 11424391.