Least Common Multiple of 449 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 449 and 454 the smallest integer that is 203846 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 454 is 203846.

LCM(449,454) = 203846

LCM of 449 and 454

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

LCM of:
and

Least Common Multiple of 449 and 454

LCM of 449 and 454 is 203846

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 454. First we will calculate the prime factors of 449 and 454.

Prime Factorization of 449


449 449
1

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

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 449 and 454.

LCM(449,454) = 21×2271×4491
LCM(449,454) = 203846

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1, 449

Factors of 454

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

1, 2, 227, 454

Least Common Multiple of 449 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 449 and 454, than apply into the LCM equation.

GCF(449,454) = 1
LCM(449,454) = ( 449 × 454) / 1
LCM(449,454) = 203846 / 1
LCM(449,454) = 203846

Properties of LCM 449 and 454

(i) The LCM of 454 and 449 is associative

LCM of 449 and 454 = LCM of 454 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 449 and 454

1. What is the LCM of 449 and 454?

Answer: LCM of 449 and 454 is 203846.

2. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

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 449 and 454?

Answer:

Least Common Multiple of 449 and 454 = 203846

Step 1: Find the prime factorization of 449

449 = 449

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 = 203846 = 2 x 227 x 449

Step 4: Therefore, the least common multiple of 449 and 454 is 203846.