Least Common Multiple of 3368 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 3368 and 3373 the smallest integer that is 11360264 that is divisible by both numbers.

Least Common Multiple (LCM) of 3368 and 3373 is 11360264.

LCM(3368,3373) = 11360264

LCM of 3368 and 3373

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

LCM of:
and

Least Common Multiple of 3368 and 3373

LCM of 3368 and 3373 is 11360264

Least common multiple can be found by multiplying the highest exponent prime factors of 3368 and 3373. First we will calculate the prime factors of 3368 and 3373.

Prime Factorization of 3368


2 3368
2 1684
2 842
421 421
1

Prime factors of 3368 are 2,421. Prime factorization of 3368 in exponential form is:

3368 = 23×4211

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 3368 and 3373.

LCM(3368,3373) = 23×4211×33731
LCM(3368,3373) = 11360264

Factors of 3368

List of positive integer factors of 3368 that divides 3368 without a remainder.

1, 2, 4, 8, 421, 842, 1684, 3368

Factors of 3373

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

1, 3373

Least Common Multiple of 3368 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 3368 and 3373, than apply into the LCM equation.

GCF(3368,3373) = 1
LCM(3368,3373) = ( 3368 × 3373) / 1
LCM(3368,3373) = 11360264 / 1
LCM(3368,3373) = 11360264

Properties of LCM 3368 and 3373

(i) The LCM of 3373 and 3368 is associative

LCM of 3368 and 3373 = LCM of 3373 and 3368

Related Least Common Multiples of 3368

Related Least Common Multiples of 3373

Frequently Asked Questions on LCM of 3368 and 3373

1. What is the LCM of 3368 and 3373?

Answer: LCM of 3368 and 3373 is 11360264.

2. What are the Factors of 3368?

Answer: Factors of 3368 are 1, 2, 4, 8, 421, 842, 1684, 3368. There are 8 integers that are factors of 3368. The greatest factor of 3368 is 3368.

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 3368 and 3373?

Answer:

Least Common Multiple of 3368 and 3373 = 11360264

Step 1: Find the prime factorization of 3368

3368 = 2 x 2 x 2 x 421

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 = 11360264 = 2 x 2 x 2 x 421 x 3373

Step 4: Therefore, the least common multiple of 3368 and 3373 is 11360264.