Least Common Multiple of 3444 and 3452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3444 and 3452 the smallest integer that is 2972172 that is divisible by both numbers.

Least Common Multiple (LCM) of 3444 and 3452 is 2972172.

LCM(3444,3452) = 2972172

LCM of 3444 and 3452

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

LCM of:
and

Least Common Multiple of 3444 and 3452

LCM of 3444 and 3452 is 2972172

Least common multiple can be found by multiplying the highest exponent prime factors of 3444 and 3452. First we will calculate the prime factors of 3444 and 3452.

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2, 3, 7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

Prime Factorization of 3452


2 3452
2 1726
863 863
1

Prime factors of 3452 are 2,863. Prime factorization of 3452 in exponential form is:

3452 = 22×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 3444 and 3452.

LCM(3444,3452) = 22×31×71×411×8631
LCM(3444,3452) = 2972172

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1, 2, 4, 863, 1726, 3452

Least Common Multiple of 3444 and 3452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3444 and 3452, than apply into the LCM equation.

GCF(3444,3452) = 4
LCM(3444,3452) = ( 3444 × 3452) / 4
LCM(3444,3452) = 11888688 / 4
LCM(3444,3452) = 2972172

Properties of LCM 3444 and 3452

(i) The LCM of 3452 and 3444 is associative

LCM of 3444 and 3452 = LCM of 3452 and 3444

Related Least Common Multiples of 3444

Related Least Common Multiples of 3452

Frequently Asked Questions on LCM of 3444 and 3452

1. What is the LCM of 3444 and 3452?

Answer: LCM of 3444 and 3452 is 2972172.

2. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

3. What are the Factors of 3452?

Answer: Factors of 3452 are 1, 2, 4, 863, 1726, 3452. There are 6 integers that are factors of 3452. The greatest factor of 3452 is 3452.

4. How to Find the LCM of 3444 and 3452?

Answer:

Least Common Multiple of 3444 and 3452 = 2972172

Step 1: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

Step 2: Find the prime factorization of 3452

3452 = 2 x 2 x 863

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

LCM = 2972172 = 2 x 2 x 3 x 7 x 41 x 863

Step 4: Therefore, the least common multiple of 3444 and 3452 is 2972172.