Least Common Multiple of 3493 and 3499

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 3499 the smallest integer that is 12222007 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3499 is 12222007.

LCM(3493,3499) = 12222007

LCM of 3493 and 3499

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

LCM of:
and

Least Common Multiple of 3493 and 3499

LCM of 3493 and 3499 is 12222007

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3499. First we will calculate the prime factors of 3493 and 3499.

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 3499


3499 3499
1

Prime factors of 3499 are 3499. Prime factorization of 3499 in exponential form is:

3499 = 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 3493 and 3499.

LCM(3493,3499) = 71×4991×34991
LCM(3493,3499) = 12222007

Factors of 3493

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

1, 7, 499, 3493

Factors of 3499

List of positive integer factors of 3499 that divides 3499 without a remainder.

1, 3499

Least Common Multiple of 3493 and 3499 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 3499, than apply into the LCM equation.

GCF(3493,3499) = 1
LCM(3493,3499) = ( 3493 × 3499) / 1
LCM(3493,3499) = 12222007 / 1
LCM(3493,3499) = 12222007

Properties of LCM 3493 and 3499

(i) The LCM of 3499 and 3493 is associative

LCM of 3493 and 3499 = LCM of 3499 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3499

Frequently Asked Questions on LCM of 3493 and 3499

1. What is the LCM of 3493 and 3499?

Answer: LCM of 3493 and 3499 is 12222007.

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 3499?

Answer: Factors of 3499 are 1, 3499. There are 2 integers that are factors of 3499. The greatest factor of 3499 is 3499.

4. How to Find the LCM of 3493 and 3499?

Answer:

Least Common Multiple of 3493 and 3499 = 12222007

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3499

3499 = 3499

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

LCM = 12222007 = 7 x 499 x 3499

Step 4: Therefore, the least common multiple of 3493 and 3499 is 12222007.