Least Common Multiple of 439 and 446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 439 and 446 the smallest integer that is 195794 that is divisible by both numbers.

Least Common Multiple (LCM) of 439 and 446 is 195794.

LCM(439,446) = 195794

LCM of 439 and 446

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

LCM of:
and

Least Common Multiple of 439 and 446

LCM of 439 and 446 is 195794

Least common multiple can be found by multiplying the highest exponent prime factors of 439 and 446. First we will calculate the prime factors of 439 and 446.

Prime Factorization of 439


439 439
1

Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:

439 = 4391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 439 and 446.

LCM(439,446) = 21×2231×4391
LCM(439,446) = 195794

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1, 439

Factors of 446

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

1, 2, 223, 446

Least Common Multiple of 439 and 446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 439 and 446, than apply into the LCM equation.

GCF(439,446) = 1
LCM(439,446) = ( 439 × 446) / 1
LCM(439,446) = 195794 / 1
LCM(439,446) = 195794

Properties of LCM 439 and 446

(i) The LCM of 446 and 439 is associative

LCM of 439 and 446 = LCM of 446 and 439

Related Least Common Multiples of 439

Related Least Common Multiples of 446

Frequently Asked Questions on LCM of 439 and 446

1. What is the LCM of 439 and 446?

Answer: LCM of 439 and 446 is 195794.

2. What are the Factors of 439?

Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.

3. 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.

4. How to Find the LCM of 439 and 446?

Answer:

Least Common Multiple of 439 and 446 = 195794

Step 1: Find the prime factorization of 439

439 = 439

Step 2: Find the prime factorization of 446

446 = 2 x 223

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

LCM = 195794 = 2 x 223 x 439

Step 4: Therefore, the least common multiple of 439 and 446 is 195794.