Least Common Multiple of 3386 and 3390

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 3390 the smallest integer that is 5739270 that is divisible by both numbers.

Least Common Multiple (LCM) of 3386 and 3390 is 5739270.

LCM(3386,3390) = 5739270

LCM of 3386 and 3390

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

LCM of:
and

Least Common Multiple of 3386 and 3390

LCM of 3386 and 3390 is 5739270

Least common multiple can be found by multiplying the highest exponent prime factors of 3386 and 3390. First we will calculate the prime factors of 3386 and 3390.

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 3390


2 3390
3 1695
5 565
113 113
1

Prime factors of 3390 are 2, 3, 5,113. Prime factorization of 3390 in exponential form is:

3390 = 21×31×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3386 and 3390.

LCM(3386,3390) = 21×31×51×1131×16931
LCM(3386,3390) = 5739270

Factors of 3386

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

1, 2, 1693, 3386

Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390

Least Common Multiple of 3386 and 3390 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 3390, than apply into the LCM equation.

GCF(3386,3390) = 2
LCM(3386,3390) = ( 3386 × 3390) / 2
LCM(3386,3390) = 11478540 / 2
LCM(3386,3390) = 5739270

Properties of LCM 3386 and 3390

(i) The LCM of 3390 and 3386 is associative

LCM of 3386 and 3390 = LCM of 3390 and 3386

Related Least Common Multiples of 3386

Related Least Common Multiples of 3390

Frequently Asked Questions on LCM of 3386 and 3390

1. What is the LCM of 3386 and 3390?

Answer: LCM of 3386 and 3390 is 5739270.

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 3390?

Answer: Factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390. There are 16 integers that are factors of 3390. The greatest factor of 3390 is 3390.

4. How to Find the LCM of 3386 and 3390?

Answer:

Least Common Multiple of 3386 and 3390 = 5739270

Step 1: Find the prime factorization of 3386

3386 = 2 x 1693

Step 2: Find the prime factorization of 3390

3390 = 2 x 3 x 5 x 113

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

LCM = 5739270 = 2 x 3 x 5 x 113 x 1693

Step 4: Therefore, the least common multiple of 3386 and 3390 is 5739270.