Least Common Multiple of 1444 and 1446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1444 and 1446 the smallest integer that is 1044012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1444 and 1446 is 1044012.

LCM(1444,1446) = 1044012

LCM of 1444 and 1446

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

LCM of:
and

Least Common Multiple of 1444 and 1446

LCM of 1444 and 1446 is 1044012

Least common multiple can be found by multiplying the highest exponent prime factors of 1444 and 1446. First we will calculate the prime factors of 1444 and 1446.

Prime Factorization of 1444


2 1444
2 722
19 361
19 19
1

Prime factors of 1444 are 2,19. Prime factorization of 1444 in exponential form is:

1444 = 22×192

Prime Factorization of 1446


2 1446
3 723
241 241
1

Prime factors of 1446 are 2, 3,241. Prime factorization of 1446 in exponential form is:

1446 = 21×31×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 1444 and 1446.

LCM(1444,1446) = 22×31×192×2411
LCM(1444,1446) = 1044012

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1, 2, 4, 19, 38, 76, 361, 722, 1444

Factors of 1446

List of positive integer factors of 1446 that divides 1446 without a remainder.

1, 2, 3, 6, 241, 482, 723, 1446

Least Common Multiple of 1444 and 1446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1444 and 1446, than apply into the LCM equation.

GCF(1444,1446) = 2
LCM(1444,1446) = ( 1444 × 1446) / 2
LCM(1444,1446) = 2088024 / 2
LCM(1444,1446) = 1044012

Properties of LCM 1444 and 1446

(i) The LCM of 1446 and 1444 is associative

LCM of 1444 and 1446 = LCM of 1446 and 1444

Related Least Common Multiples of 1444

Related Least Common Multiples of 1446

Frequently Asked Questions on LCM of 1444 and 1446

1. What is the LCM of 1444 and 1446?

Answer: LCM of 1444 and 1446 is 1044012.

2. What are the Factors of 1444?

Answer: Factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444. There are 9 integers that are factors of 1444. The greatest factor of 1444 is 1444.

3. What are the Factors of 1446?

Answer: Factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446. There are 8 integers that are factors of 1446. The greatest factor of 1446 is 1446.

4. How to Find the LCM of 1444 and 1446?

Answer:

Least Common Multiple of 1444 and 1446 = 1044012

Step 1: Find the prime factorization of 1444

1444 = 2 x 2 x 19 x 19

Step 2: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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

LCM = 1044012 = 2 x 2 x 3 x 19 x 19 x 241

Step 4: Therefore, the least common multiple of 1444 and 1446 is 1044012.