Least Common Multiple of 3493 and 3498

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 3498 the smallest integer that is 12218514 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3498 is 12218514.

LCM(3493,3498) = 12218514

LCM of 3493 and 3498

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

LCM of:
and

Least Common Multiple of 3493 and 3498

LCM of 3493 and 3498 is 12218514

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3498. First we will calculate the prime factors of 3493 and 3498.

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 3498


2 3498
3 1749
11 583
53 53
1

Prime factors of 3498 are 2, 3, 11,53. Prime factorization of 3498 in exponential form is:

3498 = 21×31×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3493 and 3498.

LCM(3493,3498) = 21×31×71×111×531×4991
LCM(3493,3498) = 12218514

Factors of 3493

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

1, 7, 499, 3493

Factors of 3498

List of positive integer factors of 3498 that divides 3498 without a remainder.

1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498

Least Common Multiple of 3493 and 3498 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 3498, than apply into the LCM equation.

GCF(3493,3498) = 1
LCM(3493,3498) = ( 3493 × 3498) / 1
LCM(3493,3498) = 12218514 / 1
LCM(3493,3498) = 12218514

Properties of LCM 3493 and 3498

(i) The LCM of 3498 and 3493 is associative

LCM of 3493 and 3498 = LCM of 3498 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3498

Frequently Asked Questions on LCM of 3493 and 3498

1. What is the LCM of 3493 and 3498?

Answer: LCM of 3493 and 3498 is 12218514.

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 3498?

Answer: Factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498. There are 16 integers that are factors of 3498. The greatest factor of 3498 is 3498.

4. How to Find the LCM of 3493 and 3498?

Answer:

Least Common Multiple of 3493 and 3498 = 12218514

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

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

LCM = 12218514 = 2 x 3 x 7 x 11 x 53 x 499

Step 4: Therefore, the least common multiple of 3493 and 3498 is 12218514.