Least Common Multiple of 3343 and 3350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3343 and 3350 the smallest integer that is 11199050 that is divisible by both numbers.

Least Common Multiple (LCM) of 3343 and 3350 is 11199050.

LCM(3343,3350) = 11199050

LCM of 3343 and 3350

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

LCM of:
and

Least Common Multiple of 3343 and 3350

LCM of 3343 and 3350 is 11199050

Least common multiple can be found by multiplying the highest exponent prime factors of 3343 and 3350. First we will calculate the prime factors of 3343 and 3350.

Prime Factorization of 3343


3343 3343
1

Prime factors of 3343 are 3343. Prime factorization of 3343 in exponential form is:

3343 = 33431

Prime Factorization of 3350


2 3350
5 1675
5 335
67 67
1

Prime factors of 3350 are 2, 5,67. Prime factorization of 3350 in exponential form is:

3350 = 21×52×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3343 and 3350.

LCM(3343,3350) = 21×52×671×33431
LCM(3343,3350) = 11199050

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1, 3343

Factors of 3350

List of positive integer factors of 3350 that divides 3350 without a remainder.

1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350

Least Common Multiple of 3343 and 3350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3343 and 3350, than apply into the LCM equation.

GCF(3343,3350) = 1
LCM(3343,3350) = ( 3343 × 3350) / 1
LCM(3343,3350) = 11199050 / 1
LCM(3343,3350) = 11199050

Properties of LCM 3343 and 3350

(i) The LCM of 3350 and 3343 is associative

LCM of 3343 and 3350 = LCM of 3350 and 3343

Related Least Common Multiples of 3343

Related Least Common Multiples of 3350

Frequently Asked Questions on LCM of 3343 and 3350

1. What is the LCM of 3343 and 3350?

Answer: LCM of 3343 and 3350 is 11199050.

2. What are the Factors of 3343?

Answer: Factors of 3343 are 1, 3343. There are 2 integers that are factors of 3343. The greatest factor of 3343 is 3343.

3. What are the Factors of 3350?

Answer: Factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350. There are 12 integers that are factors of 3350. The greatest factor of 3350 is 3350.

4. How to Find the LCM of 3343 and 3350?

Answer:

Least Common Multiple of 3343 and 3350 = 11199050

Step 1: Find the prime factorization of 3343

3343 = 3343

Step 2: Find the prime factorization of 3350

3350 = 2 x 5 x 5 x 67

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

LCM = 11199050 = 2 x 5 x 5 x 67 x 3343

Step 4: Therefore, the least common multiple of 3343 and 3350 is 11199050.