Least Common Multiple of 455 and 459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 455 and 459 the smallest integer that is 208845 that is divisible by both numbers.

Least Common Multiple (LCM) of 455 and 459 is 208845.

LCM(455,459) = 208845

LCM of 455 and 459

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

LCM of:
and

Least Common Multiple of 455 and 459

LCM of 455 and 459 is 208845

Least common multiple can be found by multiplying the highest exponent prime factors of 455 and 459. First we will calculate the prime factors of 455 and 459.

Prime Factorization of 455


5 455
7 91
13 13
1

Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:

455 = 51×71×131

Prime Factorization of 459


3 459
3 153
3 51
17 17
1

Prime factors of 459 are 3,17. Prime factorization of 459 in exponential form is:

459 = 33×171

Now multiplying the highest exponent prime factors to calculate the LCM of 455 and 459.

LCM(455,459) = 33×51×71×131×171
LCM(455,459) = 208845

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Least Common Multiple of 455 and 459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 455 and 459, than apply into the LCM equation.

GCF(455,459) = 1
LCM(455,459) = ( 455 × 459) / 1
LCM(455,459) = 208845 / 1
LCM(455,459) = 208845

Properties of LCM 455 and 459

(i) The LCM of 459 and 455 is associative

LCM of 455 and 459 = LCM of 459 and 455

Related Least Common Multiples of 455

Related Least Common Multiples of 459

Frequently Asked Questions on LCM of 455 and 459

1. What is the LCM of 455 and 459?

Answer: LCM of 455 and 459 is 208845.

2. What are the Factors of 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

3. What are the Factors of 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

4. How to Find the LCM of 455 and 459?

Answer:

Least Common Multiple of 455 and 459 = 208845

Step 1: Find the prime factorization of 455

455 = 5 x 7 x 13

Step 2: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

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

LCM = 208845 = 3 x 3 x 3 x 5 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 455 and 459 is 208845.