Least Common Multiple of 1449 and 1453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1449 and 1453 the smallest integer that is 2105397 that is divisible by both numbers.

Least Common Multiple (LCM) of 1449 and 1453 is 2105397.

LCM(1449,1453) = 2105397

LCM of 1449 and 1453

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

LCM of:
and

Least Common Multiple of 1449 and 1453

LCM of 1449 and 1453 is 2105397

Least common multiple can be found by multiplying the highest exponent prime factors of 1449 and 1453. First we will calculate the prime factors of 1449 and 1453.

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

Prime Factorization of 1453


1453 1453
1

Prime factors of 1453 are 1453. Prime factorization of 1453 in exponential form is:

1453 = 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 1449 and 1453.

LCM(1449,1453) = 32×71×231×14531
LCM(1449,1453) = 2105397

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

Factors of 1453

List of positive integer factors of 1453 that divides 1453 without a remainder.

1, 1453

Least Common Multiple of 1449 and 1453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1449 and 1453, than apply into the LCM equation.

GCF(1449,1453) = 1
LCM(1449,1453) = ( 1449 × 1453) / 1
LCM(1449,1453) = 2105397 / 1
LCM(1449,1453) = 2105397

Properties of LCM 1449 and 1453

(i) The LCM of 1453 and 1449 is associative

LCM of 1449 and 1453 = LCM of 1453 and 1449

Related Least Common Multiples of 1449

Related Least Common Multiples of 1453

Frequently Asked Questions on LCM of 1449 and 1453

1. What is the LCM of 1449 and 1453?

Answer: LCM of 1449 and 1453 is 2105397.

2. 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.

3. What are the Factors of 1453?

Answer: Factors of 1453 are 1, 1453. There are 2 integers that are factors of 1453. The greatest factor of 1453 is 1453.

4. How to Find the LCM of 1449 and 1453?

Answer:

Least Common Multiple of 1449 and 1453 = 2105397

Step 1: Find the prime factorization of 1449

1449 = 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 1453

1453 = 1453

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

LCM = 2105397 = 3 x 3 x 7 x 23 x 1453

Step 4: Therefore, the least common multiple of 1449 and 1453 is 2105397.