Least Common Multiple of 3369 and 3373

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 3373 the smallest integer that is 11363637 that is divisible by both numbers.

Least Common Multiple (LCM) of 3369 and 3373 is 11363637.

LCM(3369,3373) = 11363637

LCM of 3369 and 3373

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

LCM of:
and

Least Common Multiple of 3369 and 3373

LCM of 3369 and 3373 is 11363637

Least common multiple can be found by multiplying the highest exponent prime factors of 3369 and 3373. First we will calculate the prime factors of 3369 and 3373.

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 3373


3373 3373
1

Prime factors of 3373 are 3373. Prime factorization of 3373 in exponential form is:

3373 = 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 3369 and 3373.

LCM(3369,3373) = 31×11231×33731
LCM(3369,3373) = 11363637

Factors of 3369

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

1, 3, 1123, 3369

Factors of 3373

List of positive integer factors of 3373 that divides 3373 without a remainder.

1, 3373

Least Common Multiple of 3369 and 3373 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 3373, than apply into the LCM equation.

GCF(3369,3373) = 1
LCM(3369,3373) = ( 3369 × 3373) / 1
LCM(3369,3373) = 11363637 / 1
LCM(3369,3373) = 11363637

Properties of LCM 3369 and 3373

(i) The LCM of 3373 and 3369 is associative

LCM of 3369 and 3373 = LCM of 3373 and 3369

Related Least Common Multiples of 3369

Related Least Common Multiples of 3373

Frequently Asked Questions on LCM of 3369 and 3373

1. What is the LCM of 3369 and 3373?

Answer: LCM of 3369 and 3373 is 11363637.

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 3373?

Answer: Factors of 3373 are 1, 3373. There are 2 integers that are factors of 3373. The greatest factor of 3373 is 3373.

4. How to Find the LCM of 3369 and 3373?

Answer:

Least Common Multiple of 3369 and 3373 = 11363637

Step 1: Find the prime factorization of 3369

3369 = 3 x 1123

Step 2: Find the prime factorization of 3373

3373 = 3373

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

LCM = 11363637 = 3 x 1123 x 3373

Step 4: Therefore, the least common multiple of 3369 and 3373 is 11363637.