Least Common Multiple of 1446 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 1446 and 1449 the smallest integer that is 698418 that is divisible by both numbers.

Least Common Multiple (LCM) of 1446 and 1449 is 698418.

LCM(1446,1449) = 698418

LCM of 1446 and 1449

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

LCM of:
and

Least Common Multiple of 1446 and 1449

LCM of 1446 and 1449 is 698418

Least common multiple can be found by multiplying the highest exponent prime factors of 1446 and 1449. First we will calculate the prime factors of 1446 and 1449.

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

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 1446 and 1449.

LCM(1446,1449) = 21×32×71×231×2411
LCM(1446,1449) = 698418

Factors of 1446

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

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

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 1446 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 1446 and 1449, than apply into the LCM equation.

GCF(1446,1449) = 3
LCM(1446,1449) = ( 1446 × 1449) / 3
LCM(1446,1449) = 2095254 / 3
LCM(1446,1449) = 698418

Properties of LCM 1446 and 1449

(i) The LCM of 1449 and 1446 is associative

LCM of 1446 and 1449 = LCM of 1449 and 1446

Related Least Common Multiples of 1446

Related Least Common Multiples of 1449

Frequently Asked Questions on LCM of 1446 and 1449

1. What is the LCM of 1446 and 1449?

Answer: LCM of 1446 and 1449 is 698418.

2. 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.

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 1446 and 1449?

Answer:

Least Common Multiple of 1446 and 1449 = 698418

Step 1: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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 = 698418 = 2 x 3 x 3 x 7 x 23 x 241

Step 4: Therefore, the least common multiple of 1446 and 1449 is 698418.