Least Common Multiple of 1445 and 1449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1445 and 1449 the smallest integer that is 2093805 that is divisible by both numbers.

Least Common Multiple (LCM) of 1445 and 1449 is 2093805.

LCM(1445,1449) = 2093805

LCM of 1445 and 1449

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

LCM of:
and

Least Common Multiple of 1445 and 1449

LCM of 1445 and 1449 is 2093805

Least common multiple can be found by multiplying the highest exponent prime factors of 1445 and 1449. First we will calculate the prime factors of 1445 and 1449.

Prime Factorization of 1445


5 1445
17 289
17 17
1

Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:

1445 = 51×172

Prime Factorization of 1449


3 1449
3 483
7 161
23 23
1

Prime factors of 1449 are 3, 7,23. Prime factorization of 1449 in exponential form is:

1449 = 32×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1445 and 1449.

LCM(1445,1449) = 32×51×71×172×231
LCM(1445,1449) = 2093805

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1, 5, 17, 85, 289, 1445

Factors of 1449

List of positive integer factors of 1449 that divides 1449 without a remainder.

1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449

Least Common Multiple of 1445 and 1449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1445 and 1449, than apply into the LCM equation.

GCF(1445,1449) = 1
LCM(1445,1449) = ( 1445 × 1449) / 1
LCM(1445,1449) = 2093805 / 1
LCM(1445,1449) = 2093805

Properties of LCM 1445 and 1449

(i) The LCM of 1449 and 1445 is associative

LCM of 1445 and 1449 = LCM of 1449 and 1445

Related Least Common Multiples of 1445

Related Least Common Multiples of 1449

Frequently Asked Questions on LCM of 1445 and 1449

1. What is the LCM of 1445 and 1449?

Answer: LCM of 1445 and 1449 is 2093805.

2. What are the Factors of 1445?

Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.

3. What are the Factors of 1449?

Answer: Factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449. There are 12 integers that are factors of 1449. The greatest factor of 1449 is 1449.

4. How to Find the LCM of 1445 and 1449?

Answer:

Least Common Multiple of 1445 and 1449 = 2093805

Step 1: Find the prime factorization of 1445

1445 = 5 x 17 x 17

Step 2: Find the prime factorization of 1449

1449 = 3 x 3 x 7 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 = 2093805 = 3 x 3 x 5 x 7 x 17 x 17 x 23

Step 4: Therefore, the least common multiple of 1445 and 1449 is 2093805.