Least Common Multiple of 3444 and 3450

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 3450 the smallest integer that is 1980300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3444 and 3450 is 1980300.

LCM(3444,3450) = 1980300

LCM of 3444 and 3450

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

LCM of:
and

Least Common Multiple of 3444 and 3450

LCM of 3444 and 3450 is 1980300

Least common multiple can be found by multiplying the highest exponent prime factors of 3444 and 3450. First we will calculate the prime factors of 3444 and 3450.

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 3450


2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 3450 are 2, 3, 5,23. Prime factorization of 3450 in exponential form is:

3450 = 21×31×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3444 and 3450.

LCM(3444,3450) = 22×31×52×71×231×411
LCM(3444,3450) = 1980300

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 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450

Least Common Multiple of 3444 and 3450 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 3450, than apply into the LCM equation.

GCF(3444,3450) = 6
LCM(3444,3450) = ( 3444 × 3450) / 6
LCM(3444,3450) = 11881800 / 6
LCM(3444,3450) = 1980300

Properties of LCM 3444 and 3450

(i) The LCM of 3450 and 3444 is associative

LCM of 3444 and 3450 = LCM of 3450 and 3444

Related Least Common Multiples of 3444

Related Least Common Multiples of 3450

Frequently Asked Questions on LCM of 3444 and 3450

1. What is the LCM of 3444 and 3450?

Answer: LCM of 3444 and 3450 is 1980300.

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 3450?

Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.

4. How to Find the LCM of 3444 and 3450?

Answer:

Least Common Multiple of 3444 and 3450 = 1980300

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 3450

3450 = 2 x 3 x 5 x 5 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 = 1980300 = 2 x 2 x 3 x 5 x 5 x 7 x 23 x 41

Step 4: Therefore, the least common multiple of 3444 and 3450 is 1980300.