Least Common Multiple of 454 and 455

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 455 the smallest integer that is 206570 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 455 is 206570.

LCM(454,455) = 206570

LCM of 454 and 455

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

LCM of:
and

Least Common Multiple of 454 and 455

LCM of 454 and 455 is 206570

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 455. First we will calculate the prime factors of 454 and 455.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 454 and 455.

LCM(454,455) = 21×51×71×131×2271
LCM(454,455) = 206570

Factors of 454

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

1, 2, 227, 454

Factors of 455

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

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

Least Common Multiple of 454 and 455 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 455, than apply into the LCM equation.

GCF(454,455) = 1
LCM(454,455) = ( 454 × 455) / 1
LCM(454,455) = 206570 / 1
LCM(454,455) = 206570

Properties of LCM 454 and 455

(i) The LCM of 455 and 454 is associative

LCM of 454 and 455 = LCM of 455 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 455

Frequently Asked Questions on LCM of 454 and 455

1. What is the LCM of 454 and 455?

Answer: LCM of 454 and 455 is 206570.

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 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.

4. How to Find the LCM of 454 and 455?

Answer:

Least Common Multiple of 454 and 455 = 206570

Step 1: Find the prime factorization of 454

454 = 2 x 227

Step 2: Find the prime factorization of 455

455 = 5 x 7 x 13

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

LCM = 206570 = 2 x 5 x 7 x 13 x 227

Step 4: Therefore, the least common multiple of 454 and 455 is 206570.