Least Common Multiple of 3341 and 3348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3341 and 3348 the smallest integer that is 11185668 that is divisible by both numbers.

Least Common Multiple (LCM) of 3341 and 3348 is 11185668.

LCM(3341,3348) = 11185668

LCM of 3341 and 3348

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

LCM of:
and

Least Common Multiple of 3341 and 3348

LCM of 3341 and 3348 is 11185668

Least common multiple can be found by multiplying the highest exponent prime factors of 3341 and 3348. First we will calculate the prime factors of 3341 and 3348.

Prime Factorization of 3341


13 3341
257 257
1

Prime factors of 3341 are 13,257. Prime factorization of 3341 in exponential form is:

3341 = 131×2571

Prime Factorization of 3348


2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 3348 are 2, 3,31. Prime factorization of 3348 in exponential form is:

3348 = 22×33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3341 and 3348.

LCM(3341,3348) = 22×33×131×311×2571
LCM(3341,3348) = 11185668

Factors of 3341

List of positive integer factors of 3341 that divides 3341 without a remainder.

1, 13, 257, 3341

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348

Least Common Multiple of 3341 and 3348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3341 and 3348, than apply into the LCM equation.

GCF(3341,3348) = 1
LCM(3341,3348) = ( 3341 × 3348) / 1
LCM(3341,3348) = 11185668 / 1
LCM(3341,3348) = 11185668

Properties of LCM 3341 and 3348

(i) The LCM of 3348 and 3341 is associative

LCM of 3341 and 3348 = LCM of 3348 and 3341

Related Least Common Multiples of 3341

Related Least Common Multiples of 3348

Frequently Asked Questions on LCM of 3341 and 3348

1. What is the LCM of 3341 and 3348?

Answer: LCM of 3341 and 3348 is 11185668.

2. What are the Factors of 3341?

Answer: Factors of 3341 are 1, 13, 257, 3341. There are 4 integers that are factors of 3341. The greatest factor of 3341 is 3341.

3. What are the Factors of 3348?

Answer: Factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348. There are 24 integers that are factors of 3348. The greatest factor of 3348 is 3348.

4. How to Find the LCM of 3341 and 3348?

Answer:

Least Common Multiple of 3341 and 3348 = 11185668

Step 1: Find the prime factorization of 3341

3341 = 13 x 257

Step 2: Find the prime factorization of 3348

3348 = 2 x 2 x 3 x 3 x 3 x 31

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

LCM = 11185668 = 2 x 2 x 3 x 3 x 3 x 13 x 31 x 257

Step 4: Therefore, the least common multiple of 3341 and 3348 is 11185668.