Least Common Multiple of 3458 and 3466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3458 and 3466 the smallest integer that is 5992714 that is divisible by both numbers.

Least Common Multiple (LCM) of 3458 and 3466 is 5992714.

LCM(3458,3466) = 5992714

LCM of 3458 and 3466

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

LCM of:
and

Least Common Multiple of 3458 and 3466

LCM of 3458 and 3466 is 5992714

Least common multiple can be found by multiplying the highest exponent prime factors of 3458 and 3466. First we will calculate the prime factors of 3458 and 3466.

Prime Factorization of 3458


2 3458
7 1729
13 247
19 19
1

Prime factors of 3458 are 2, 7, 13,19. Prime factorization of 3458 in exponential form is:

3458 = 21×71×131×191

Prime Factorization of 3466


2 3466
1733 1733
1

Prime factors of 3466 are 2,1733. Prime factorization of 3466 in exponential form is:

3466 = 21×17331

Now multiplying the highest exponent prime factors to calculate the LCM of 3458 and 3466.

LCM(3458,3466) = 21×71×131×191×17331
LCM(3458,3466) = 5992714

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1, 2, 1733, 3466

Least Common Multiple of 3458 and 3466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3458 and 3466, than apply into the LCM equation.

GCF(3458,3466) = 2
LCM(3458,3466) = ( 3458 × 3466) / 2
LCM(3458,3466) = 11985428 / 2
LCM(3458,3466) = 5992714

Properties of LCM 3458 and 3466

(i) The LCM of 3466 and 3458 is associative

LCM of 3458 and 3466 = LCM of 3466 and 3458

Related Least Common Multiples of 3458

Related Least Common Multiples of 3466

Frequently Asked Questions on LCM of 3458 and 3466

1. What is the LCM of 3458 and 3466?

Answer: LCM of 3458 and 3466 is 5992714.

2. What are the Factors of 3458?

Answer: Factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458. There are 16 integers that are factors of 3458. The greatest factor of 3458 is 3458.

3. What are the Factors of 3466?

Answer: Factors of 3466 are 1, 2, 1733, 3466. There are 4 integers that are factors of 3466. The greatest factor of 3466 is 3466.

4. How to Find the LCM of 3458 and 3466?

Answer:

Least Common Multiple of 3458 and 3466 = 5992714

Step 1: Find the prime factorization of 3458

3458 = 2 x 7 x 13 x 19

Step 2: Find the prime factorization of 3466

3466 = 2 x 1733

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

LCM = 5992714 = 2 x 7 x 13 x 19 x 1733

Step 4: Therefore, the least common multiple of 3458 and 3466 is 5992714.