Least Common Multiple of 453 and 454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 453 and 454 the smallest integer that is 205662 that is divisible by both numbers.

Least Common Multiple (LCM) of 453 and 454 is 205662.

LCM(453,454) = 205662

LCM of 453 and 454

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

LCM of:
and

Least Common Multiple of 453 and 454

LCM of 453 and 454 is 205662

Least common multiple can be found by multiplying the highest exponent prime factors of 453 and 454. First we will calculate the prime factors of 453 and 454.

Prime Factorization of 453


3 453
151 151
1

Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:

453 = 31×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 453 and 454.

LCM(453,454) = 21×31×1511×2271
LCM(453,454) = 205662

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Factors of 454

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

1, 2, 227, 454

Least Common Multiple of 453 and 454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 453 and 454, than apply into the LCM equation.

GCF(453,454) = 1
LCM(453,454) = ( 453 × 454) / 1
LCM(453,454) = 205662 / 1
LCM(453,454) = 205662

Properties of LCM 453 and 454

(i) The LCM of 454 and 453 is associative

LCM of 453 and 454 = LCM of 454 and 453

Related Least Common Multiples of 453

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 453 and 454

1. What is the LCM of 453 and 454?

Answer: LCM of 453 and 454 is 205662.

2. What are the Factors of 453?

Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.

3. 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.

4. How to Find the LCM of 453 and 454?

Answer:

Least Common Multiple of 453 and 454 = 205662

Step 1: Find the prime factorization of 453

453 = 3 x 151

Step 2: Find the prime factorization of 454

454 = 2 x 227

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

LCM = 205662 = 2 x 3 x 151 x 227

Step 4: Therefore, the least common multiple of 453 and 454 is 205662.