Least Common Multiple of 3369 and 3376

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 3376 the smallest integer that is 11373744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3369 and 3376 is 11373744.

LCM(3369,3376) = 11373744

LCM of 3369 and 3376

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

LCM of:
and

Least Common Multiple of 3369 and 3376

LCM of 3369 and 3376 is 11373744

Least common multiple can be found by multiplying the highest exponent prime factors of 3369 and 3376. First we will calculate the prime factors of 3369 and 3376.

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 3376


2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 3376 are 2,211. Prime factorization of 3376 in exponential form is:

3376 = 24×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3369 and 3376.

LCM(3369,3376) = 24×31×2111×11231
LCM(3369,3376) = 11373744

Factors of 3369

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

1, 3, 1123, 3369

Factors of 3376

List of positive integer factors of 3376 that divides 3376 without a remainder.

1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376

Least Common Multiple of 3369 and 3376 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 3376, than apply into the LCM equation.

GCF(3369,3376) = 1
LCM(3369,3376) = ( 3369 × 3376) / 1
LCM(3369,3376) = 11373744 / 1
LCM(3369,3376) = 11373744

Properties of LCM 3369 and 3376

(i) The LCM of 3376 and 3369 is associative

LCM of 3369 and 3376 = LCM of 3376 and 3369

Related Least Common Multiples of 3369

Related Least Common Multiples of 3376

Frequently Asked Questions on LCM of 3369 and 3376

1. What is the LCM of 3369 and 3376?

Answer: LCM of 3369 and 3376 is 11373744.

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 3376?

Answer: Factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376. There are 10 integers that are factors of 3376. The greatest factor of 3376 is 3376.

4. How to Find the LCM of 3369 and 3376?

Answer:

Least Common Multiple of 3369 and 3376 = 11373744

Step 1: Find the prime factorization of 3369

3369 = 3 x 1123

Step 2: Find the prime factorization of 3376

3376 = 2 x 2 x 2 x 2 x 211

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

LCM = 11373744 = 2 x 2 x 2 x 2 x 3 x 211 x 1123

Step 4: Therefore, the least common multiple of 3369 and 3376 is 11373744.