Least Common Multiple of 454 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 454 and 459 the smallest integer that is 208386 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 459 is 208386.

LCM(454,459) = 208386

LCM of 454 and 459

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

LCM of:
and

Least Common Multiple of 454 and 459

LCM of 454 and 459 is 208386

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 459. First we will calculate the prime factors of 454 and 459.

Prime Factorization of 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

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 454 and 459.

LCM(454,459) = 21×33×171×2271
LCM(454,459) = 208386

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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 454 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 454 and 459, than apply into the LCM equation.

GCF(454,459) = 1
LCM(454,459) = ( 454 × 459) / 1
LCM(454,459) = 208386 / 1
LCM(454,459) = 208386

Properties of LCM 454 and 459

(i) The LCM of 459 and 454 is associative

LCM of 454 and 459 = LCM of 459 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 459

Frequently Asked Questions on LCM of 454 and 459

1. What is the LCM of 454 and 459?

Answer: LCM of 454 and 459 is 208386.

2. What are the Factors of 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

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 454 and 459?

Answer:

Least Common Multiple of 454 and 459 = 208386

Step 1: Find the prime factorization of 454

454 = 2 x 227

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 = 208386 = 2 x 3 x 3 x 3 x 17 x 227

Step 4: Therefore, the least common multiple of 454 and 459 is 208386.