Least Common Multiple of 3492 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 3492 and 3496 the smallest integer that is 3052008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3492 and 3496 is 3052008.

LCM(3492,3496) = 3052008

LCM of 3492 and 3496

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

LCM of:
and

Least Common Multiple of 3492 and 3496

LCM of 3492 and 3496 is 3052008

Least common multiple can be found by multiplying the highest exponent prime factors of 3492 and 3496. First we will calculate the prime factors of 3492 and 3496.

Prime Factorization of 3492


2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 3492 are 2, 3,97. Prime factorization of 3492 in exponential form is:

3492 = 22×32×971

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 3492 and 3496.

LCM(3492,3496) = 23×32×191×231×971
LCM(3492,3496) = 3052008

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492

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 3492 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 3492 and 3496, than apply into the LCM equation.

GCF(3492,3496) = 4
LCM(3492,3496) = ( 3492 × 3496) / 4
LCM(3492,3496) = 12208032 / 4
LCM(3492,3496) = 3052008

Properties of LCM 3492 and 3496

(i) The LCM of 3496 and 3492 is associative

LCM of 3492 and 3496 = LCM of 3496 and 3492

Related Least Common Multiples of 3492

Related Least Common Multiples of 3496

Frequently Asked Questions on LCM of 3492 and 3496

1. What is the LCM of 3492 and 3496?

Answer: LCM of 3492 and 3496 is 3052008.

2. What are the Factors of 3492?

Answer: Factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. There are 18 integers that are factors of 3492. The greatest factor of 3492 is 3492.

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 3492 and 3496?

Answer:

Least Common Multiple of 3492 and 3496 = 3052008

Step 1: Find the prime factorization of 3492

3492 = 2 x 2 x 3 x 3 x 97

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 = 3052008 = 2 x 2 x 2 x 3 x 3 x 19 x 23 x 97

Step 4: Therefore, the least common multiple of 3492 and 3496 is 3052008.