Least Common Multiple of 3493 and 3496

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 3496 the smallest integer that is 12211528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3496 is 12211528.

LCM(3493,3496) = 12211528

LCM of 3493 and 3496

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

LCM of:
and

Least Common Multiple of 3493 and 3496

LCM of 3493 and 3496 is 12211528

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3496. First we will calculate the prime factors of 3493 and 3496.

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 3496


2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 3496 are 2, 19,23. Prime factorization of 3496 in exponential form is:

3496 = 23×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3493 and 3496.

LCM(3493,3496) = 23×71×191×231×4991
LCM(3493,3496) = 12211528

Factors of 3493

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

1, 7, 499, 3493

Factors of 3496

List of positive integer factors of 3496 that divides 3496 without a remainder.

1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496

Least Common Multiple of 3493 and 3496 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 3496, than apply into the LCM equation.

GCF(3493,3496) = 1
LCM(3493,3496) = ( 3493 × 3496) / 1
LCM(3493,3496) = 12211528 / 1
LCM(3493,3496) = 12211528

Properties of LCM 3493 and 3496

(i) The LCM of 3496 and 3493 is associative

LCM of 3493 and 3496 = LCM of 3496 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3496

Frequently Asked Questions on LCM of 3493 and 3496

1. What is the LCM of 3493 and 3496?

Answer: LCM of 3493 and 3496 is 12211528.

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 3496?

Answer: Factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. There are 16 integers that are factors of 3496. The greatest factor of 3496 is 3496.

4. How to Find the LCM of 3493 and 3496?

Answer:

Least Common Multiple of 3493 and 3496 = 12211528

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3496

3496 = 2 x 2 x 2 x 19 x 23

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

LCM = 12211528 = 2 x 2 x 2 x 7 x 19 x 23 x 499

Step 4: Therefore, the least common multiple of 3493 and 3496 is 12211528.