Least Common Multiple of 3390 and 3398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3390 and 3398 the smallest integer that is 5759610 that is divisible by both numbers.

Least Common Multiple (LCM) of 3390 and 3398 is 5759610.

LCM(3390,3398) = 5759610

LCM of 3390 and 3398

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

LCM of:
and

Least Common Multiple of 3390 and 3398

LCM of 3390 and 3398 is 5759610

Least common multiple can be found by multiplying the highest exponent prime factors of 3390 and 3398. First we will calculate the prime factors of 3390 and 3398.

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

Prime Factorization of 3398


2 3398
1699 1699
1

Prime factors of 3398 are 2,1699. Prime factorization of 3398 in exponential form is:

3398 = 21×16991

Now multiplying the highest exponent prime factors to calculate the LCM of 3390 and 3398.

LCM(3390,3398) = 21×31×51×1131×16991
LCM(3390,3398) = 5759610

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

Factors of 3398

List of positive integer factors of 3398 that divides 3398 without a remainder.

1, 2, 1699, 3398

Least Common Multiple of 3390 and 3398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3390 and 3398, than apply into the LCM equation.

GCF(3390,3398) = 2
LCM(3390,3398) = ( 3390 × 3398) / 2
LCM(3390,3398) = 11519220 / 2
LCM(3390,3398) = 5759610

Properties of LCM 3390 and 3398

(i) The LCM of 3398 and 3390 is associative

LCM of 3390 and 3398 = LCM of 3398 and 3390

Related Least Common Multiples of 3390

Related Least Common Multiples of 3398

Frequently Asked Questions on LCM of 3390 and 3398

1. What is the LCM of 3390 and 3398?

Answer: LCM of 3390 and 3398 is 5759610.

2. 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.

3. What are the Factors of 3398?

Answer: Factors of 3398 are 1, 2, 1699, 3398. There are 4 integers that are factors of 3398. The greatest factor of 3398 is 3398.

4. How to Find the LCM of 3390 and 3398?

Answer:

Least Common Multiple of 3390 and 3398 = 5759610

Step 1: Find the prime factorization of 3390

3390 = 2 x 3 x 5 x 113

Step 2: Find the prime factorization of 3398

3398 = 2 x 1699

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

LCM = 5759610 = 2 x 3 x 5 x 113 x 1699

Step 4: Therefore, the least common multiple of 3390 and 3398 is 5759610.