Least Common Multiple of 3342 and 3347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3342 and 3347 the smallest integer that is 11185674 that is divisible by both numbers.

Least Common Multiple (LCM) of 3342 and 3347 is 11185674.

LCM(3342,3347) = 11185674

LCM of 3342 and 3347

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

LCM of:
and

Least Common Multiple of 3342 and 3347

LCM of 3342 and 3347 is 11185674

Least common multiple can be found by multiplying the highest exponent prime factors of 3342 and 3347. First we will calculate the prime factors of 3342 and 3347.

Prime Factorization of 3342


2 3342
3 1671
557 557
1

Prime factors of 3342 are 2, 3,557. Prime factorization of 3342 in exponential form is:

3342 = 21×31×5571

Prime Factorization of 3347


3347 3347
1

Prime factors of 3347 are 3347. Prime factorization of 3347 in exponential form is:

3347 = 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 3342 and 3347.

LCM(3342,3347) = 21×31×5571×33471
LCM(3342,3347) = 11185674

Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1, 2, 3, 6, 557, 1114, 1671, 3342

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1, 3347

Least Common Multiple of 3342 and 3347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3342 and 3347, than apply into the LCM equation.

GCF(3342,3347) = 1
LCM(3342,3347) = ( 3342 × 3347) / 1
LCM(3342,3347) = 11185674 / 1
LCM(3342,3347) = 11185674

Properties of LCM 3342 and 3347

(i) The LCM of 3347 and 3342 is associative

LCM of 3342 and 3347 = LCM of 3347 and 3342

Related Least Common Multiples of 3342

Related Least Common Multiples of 3347

Frequently Asked Questions on LCM of 3342 and 3347

1. What is the LCM of 3342 and 3347?

Answer: LCM of 3342 and 3347 is 11185674.

2. What are the Factors of 3342?

Answer: Factors of 3342 are 1, 2, 3, 6, 557, 1114, 1671, 3342. There are 8 integers that are factors of 3342. The greatest factor of 3342 is 3342.

3. What are the Factors of 3347?

Answer: Factors of 3347 are 1, 3347. There are 2 integers that are factors of 3347. The greatest factor of 3347 is 3347.

4. How to Find the LCM of 3342 and 3347?

Answer:

Least Common Multiple of 3342 and 3347 = 11185674

Step 1: Find the prime factorization of 3342

3342 = 2 x 3 x 557

Step 2: Find the prime factorization of 3347

3347 = 3347

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

LCM = 11185674 = 2 x 3 x 557 x 3347

Step 4: Therefore, the least common multiple of 3342 and 3347 is 11185674.