Least Common Multiple of 1449 and 1454

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 1454 the smallest integer that is 2106846 that is divisible by both numbers.

Least Common Multiple (LCM) of 1449 and 1454 is 2106846.

LCM(1449,1454) = 2106846

LCM of 1449 and 1454

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

LCM of:
and

Least Common Multiple of 1449 and 1454

LCM of 1449 and 1454 is 2106846

Least common multiple can be found by multiplying the highest exponent prime factors of 1449 and 1454. First we will calculate the prime factors of 1449 and 1454.

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 1454


2 1454
727 727
1

Prime factors of 1454 are 2,727. Prime factorization of 1454 in exponential form is:

1454 = 21×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 1449 and 1454.

LCM(1449,1454) = 21×32×71×231×7271
LCM(1449,1454) = 2106846

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 1454

List of positive integer factors of 1454 that divides 1454 without a remainder.

1, 2, 727, 1454

Least Common Multiple of 1449 and 1454 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 1454, than apply into the LCM equation.

GCF(1449,1454) = 1
LCM(1449,1454) = ( 1449 × 1454) / 1
LCM(1449,1454) = 2106846 / 1
LCM(1449,1454) = 2106846

Properties of LCM 1449 and 1454

(i) The LCM of 1454 and 1449 is associative

LCM of 1449 and 1454 = LCM of 1454 and 1449

Related Least Common Multiples of 1449

Related Least Common Multiples of 1454

Frequently Asked Questions on LCM of 1449 and 1454

1. What is the LCM of 1449 and 1454?

Answer: LCM of 1449 and 1454 is 2106846.

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 1454?

Answer: Factors of 1454 are 1, 2, 727, 1454. There are 4 integers that are factors of 1454. The greatest factor of 1454 is 1454.

4. How to Find the LCM of 1449 and 1454?

Answer:

Least Common Multiple of 1449 and 1454 = 2106846

Step 1: Find the prime factorization of 1449

1449 = 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 1454

1454 = 2 x 727

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

LCM = 2106846 = 2 x 3 x 3 x 7 x 23 x 727

Step 4: Therefore, the least common multiple of 1449 and 1454 is 2106846.