Least Common Multiple of 3386 and 3394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3386 and 3394 the smallest integer that is 5746042 that is divisible by both numbers.

Least Common Multiple (LCM) of 3386 and 3394 is 5746042.

LCM(3386,3394) = 5746042

LCM of 3386 and 3394

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

LCM of:
and

Least Common Multiple of 3386 and 3394

LCM of 3386 and 3394 is 5746042

Least common multiple can be found by multiplying the highest exponent prime factors of 3386 and 3394. First we will calculate the prime factors of 3386 and 3394.

Prime Factorization of 3386


2 3386
1693 1693
1

Prime factors of 3386 are 2,1693. Prime factorization of 3386 in exponential form is:

3386 = 21×16931

Prime Factorization of 3394


2 3394
1697 1697
1

Prime factors of 3394 are 2,1697. Prime factorization of 3394 in exponential form is:

3394 = 21×16971

Now multiplying the highest exponent prime factors to calculate the LCM of 3386 and 3394.

LCM(3386,3394) = 21×16931×16971
LCM(3386,3394) = 5746042

Factors of 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1, 2, 1693, 3386

Factors of 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1, 2, 1697, 3394

Least Common Multiple of 3386 and 3394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3386 and 3394, than apply into the LCM equation.

GCF(3386,3394) = 2
LCM(3386,3394) = ( 3386 × 3394) / 2
LCM(3386,3394) = 11492084 / 2
LCM(3386,3394) = 5746042

Properties of LCM 3386 and 3394

(i) The LCM of 3394 and 3386 is associative

LCM of 3386 and 3394 = LCM of 3394 and 3386

Related Least Common Multiples of 3386

Related Least Common Multiples of 3394

Frequently Asked Questions on LCM of 3386 and 3394

1. What is the LCM of 3386 and 3394?

Answer: LCM of 3386 and 3394 is 5746042.

2. What are the Factors of 3386?

Answer: Factors of 3386 are 1, 2, 1693, 3386. There are 4 integers that are factors of 3386. The greatest factor of 3386 is 3386.

3. What are the Factors of 3394?

Answer: Factors of 3394 are 1, 2, 1697, 3394. There are 4 integers that are factors of 3394. The greatest factor of 3394 is 3394.

4. How to Find the LCM of 3386 and 3394?

Answer:

Least Common Multiple of 3386 and 3394 = 5746042

Step 1: Find the prime factorization of 3386

3386 = 2 x 1693

Step 2: Find the prime factorization of 3394

3394 = 2 x 1697

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

LCM = 5746042 = 2 x 1693 x 1697

Step 4: Therefore, the least common multiple of 3386 and 3394 is 5746042.