Least Common Multiple of 446 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 446 and 454 the smallest integer that is 101242 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 454 is 101242.

LCM(446,454) = 101242

LCM of 446 and 454

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

LCM of:
and

Least Common Multiple of 446 and 454

LCM of 446 and 454 is 101242

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 454. First we will calculate the prime factors of 446 and 454.

Prime Factorization of 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

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 446 and 454.

LCM(446,454) = 21×2231×2271
LCM(446,454) = 101242

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Factors of 454

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

1, 2, 227, 454

Least Common Multiple of 446 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 446 and 454, than apply into the LCM equation.

GCF(446,454) = 2
LCM(446,454) = ( 446 × 454) / 2
LCM(446,454) = 202484 / 2
LCM(446,454) = 101242

Properties of LCM 446 and 454

(i) The LCM of 454 and 446 is associative

LCM of 446 and 454 = LCM of 454 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 446 and 454

1. What is the LCM of 446 and 454?

Answer: LCM of 446 and 454 is 101242.

2. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

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 446 and 454?

Answer:

Least Common Multiple of 446 and 454 = 101242

Step 1: Find the prime factorization of 446

446 = 2 x 223

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 = 101242 = 2 x 223 x 227

Step 4: Therefore, the least common multiple of 446 and 454 is 101242.