Least Common Multiple of 1449 and 1455

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 1455 the smallest integer that is 702765 that is divisible by both numbers.

Least Common Multiple (LCM) of 1449 and 1455 is 702765.

LCM(1449,1455) = 702765

LCM of 1449 and 1455

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

LCM of:
and

Least Common Multiple of 1449 and 1455

LCM of 1449 and 1455 is 702765

Least common multiple can be found by multiplying the highest exponent prime factors of 1449 and 1455. First we will calculate the prime factors of 1449 and 1455.

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 1455


3 1455
5 485
97 97
1

Prime factors of 1455 are 3, 5,97. Prime factorization of 1455 in exponential form is:

1455 = 31×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1449 and 1455.

LCM(1449,1455) = 32×51×71×231×971
LCM(1449,1455) = 702765

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 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1, 3, 5, 15, 97, 291, 485, 1455

Least Common Multiple of 1449 and 1455 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 1455, than apply into the LCM equation.

GCF(1449,1455) = 3
LCM(1449,1455) = ( 1449 × 1455) / 3
LCM(1449,1455) = 2108295 / 3
LCM(1449,1455) = 702765

Properties of LCM 1449 and 1455

(i) The LCM of 1455 and 1449 is associative

LCM of 1449 and 1455 = LCM of 1455 and 1449

Related Least Common Multiples of 1449

Related Least Common Multiples of 1455

Frequently Asked Questions on LCM of 1449 and 1455

1. What is the LCM of 1449 and 1455?

Answer: LCM of 1449 and 1455 is 702765.

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 1455?

Answer: Factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455. There are 8 integers that are factors of 1455. The greatest factor of 1455 is 1455.

4. How to Find the LCM of 1449 and 1455?

Answer:

Least Common Multiple of 1449 and 1455 = 702765

Step 1: Find the prime factorization of 1449

1449 = 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 1455

1455 = 3 x 5 x 97

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

LCM = 702765 = 3 x 3 x 5 x 7 x 23 x 97

Step 4: Therefore, the least common multiple of 1449 and 1455 is 702765.