Least Common Multiple of 446 and 449

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 449 the smallest integer that is 200254 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 449 is 200254.

LCM(446,449) = 200254

LCM of 446 and 449

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

LCM of:
and

Least Common Multiple of 446 and 449

LCM of 446 and 449 is 200254

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 449. First we will calculate the prime factors of 446 and 449.

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 449


449 449
1

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

449 = 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 446 and 449.

LCM(446,449) = 21×2231×4491
LCM(446,449) = 200254

Factors of 446

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

1, 2, 223, 446

Factors of 449

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

1, 449

Least Common Multiple of 446 and 449 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 449, than apply into the LCM equation.

GCF(446,449) = 1
LCM(446,449) = ( 446 × 449) / 1
LCM(446,449) = 200254 / 1
LCM(446,449) = 200254

Properties of LCM 446 and 449

(i) The LCM of 449 and 446 is associative

LCM of 446 and 449 = LCM of 449 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 449

Frequently Asked Questions on LCM of 446 and 449

1. What is the LCM of 446 and 449?

Answer: LCM of 446 and 449 is 200254.

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 449?

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

4. How to Find the LCM of 446 and 449?

Answer:

Least Common Multiple of 446 and 449 = 200254

Step 1: Find the prime factorization of 446

446 = 2 x 223

Step 2: Find the prime factorization of 449

449 = 449

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

LCM = 200254 = 2 x 223 x 449

Step 4: Therefore, the least common multiple of 446 and 449 is 200254.