Least Common Multiple of 3493 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 3493 and 3494 the smallest integer that is 12204542 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3494 is 12204542.

LCM(3493,3494) = 12204542

LCM of 3493 and 3494

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

LCM of:
and

Least Common Multiple of 3493 and 3494

LCM of 3493 and 3494 is 12204542

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3494. First we will calculate the prime factors of 3493 and 3494.

Prime Factorization of 3493


7 3493
499 499
1

Prime factors of 3493 are 7,499. Prime factorization of 3493 in exponential form is:

3493 = 71×4991

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 3493 and 3494.

LCM(3493,3494) = 21×71×4991×17471
LCM(3493,3494) = 12204542

Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1, 7, 499, 3493

Factors of 3494

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

1, 2, 1747, 3494

Least Common Multiple of 3493 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 3493 and 3494, than apply into the LCM equation.

GCF(3493,3494) = 1
LCM(3493,3494) = ( 3493 × 3494) / 1
LCM(3493,3494) = 12204542 / 1
LCM(3493,3494) = 12204542

Properties of LCM 3493 and 3494

(i) The LCM of 3494 and 3493 is associative

LCM of 3493 and 3494 = LCM of 3494 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3494

Frequently Asked Questions on LCM of 3493 and 3494

1. What is the LCM of 3493 and 3494?

Answer: LCM of 3493 and 3494 is 12204542.

2. What are the Factors of 3493?

Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.

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 3493 and 3494?

Answer:

Least Common Multiple of 3493 and 3494 = 12204542

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

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 = 12204542 = 2 x 7 x 499 x 1747

Step 4: Therefore, the least common multiple of 3493 and 3494 is 12204542.