Least Common Multiple of 3486 and 3494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3486 and 3494 the smallest integer that is 6090042 that is divisible by both numbers.

Least Common Multiple (LCM) of 3486 and 3494 is 6090042.

LCM(3486,3494) = 6090042

LCM of 3486 and 3494

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

LCM of:
and

Least Common Multiple of 3486 and 3494

LCM of 3486 and 3494 is 6090042

Least common multiple can be found by multiplying the highest exponent prime factors of 3486 and 3494. First we will calculate the prime factors of 3486 and 3494.

Prime Factorization of 3486


2 3486
3 1743
7 581
83 83
1

Prime factors of 3486 are 2, 3, 7,83. Prime factorization of 3486 in exponential form is:

3486 = 21×31×71×831

Prime Factorization of 3494


2 3494
1747 1747
1

Prime factors of 3494 are 2,1747. Prime factorization of 3494 in exponential form is:

3494 = 21×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 3486 and 3494.

LCM(3486,3494) = 21×31×71×831×17471
LCM(3486,3494) = 6090042

Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486

Factors of 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1, 2, 1747, 3494

Least Common Multiple of 3486 and 3494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3486 and 3494, than apply into the LCM equation.

GCF(3486,3494) = 2
LCM(3486,3494) = ( 3486 × 3494) / 2
LCM(3486,3494) = 12180084 / 2
LCM(3486,3494) = 6090042

Properties of LCM 3486 and 3494

(i) The LCM of 3494 and 3486 is associative

LCM of 3486 and 3494 = LCM of 3494 and 3486

Related Least Common Multiples of 3486

Related Least Common Multiples of 3494

Frequently Asked Questions on LCM of 3486 and 3494

1. What is the LCM of 3486 and 3494?

Answer: LCM of 3486 and 3494 is 6090042.

2. What are the Factors of 3486?

Answer: Factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486. There are 16 integers that are factors of 3486. The greatest factor of 3486 is 3486.

3. What are the Factors of 3494?

Answer: Factors of 3494 are 1, 2, 1747, 3494. There are 4 integers that are factors of 3494. The greatest factor of 3494 is 3494.

4. How to Find the LCM of 3486 and 3494?

Answer:

Least Common Multiple of 3486 and 3494 = 6090042

Step 1: Find the prime factorization of 3486

3486 = 2 x 3 x 7 x 83

Step 2: Find the prime factorization of 3494

3494 = 2 x 1747

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

LCM = 6090042 = 2 x 3 x 7 x 83 x 1747

Step 4: Therefore, the least common multiple of 3486 and 3494 is 6090042.