Least Common Multiple of 439 and 441

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 441 the smallest integer that is 193599 that is divisible by both numbers.

Least Common Multiple (LCM) of 439 and 441 is 193599.

LCM(439,441) = 193599

LCM of 439 and 441

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

LCM of:
and

Least Common Multiple of 439 and 441

LCM of 439 and 441 is 193599

Least common multiple can be found by multiplying the highest exponent prime factors of 439 and 441. First we will calculate the prime factors of 439 and 441.

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 441


3 441
3 147
7 49
7 7
1

Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:

441 = 32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 439 and 441.

LCM(439,441) = 32×72×4391
LCM(439,441) = 193599

Factors of 439

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

1, 439

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Least Common Multiple of 439 and 441 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 441, than apply into the LCM equation.

GCF(439,441) = 1
LCM(439,441) = ( 439 × 441) / 1
LCM(439,441) = 193599 / 1
LCM(439,441) = 193599

Properties of LCM 439 and 441

(i) The LCM of 441 and 439 is associative

LCM of 439 and 441 = LCM of 441 and 439

Related Least Common Multiples of 439

Related Least Common Multiples of 441

Frequently Asked Questions on LCM of 439 and 441

1. What is the LCM of 439 and 441?

Answer: LCM of 439 and 441 is 193599.

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 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

4. How to Find the LCM of 439 and 441?

Answer:

Least Common Multiple of 439 and 441 = 193599

Step 1: Find the prime factorization of 439

439 = 439

Step 2: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

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

LCM = 193599 = 3 x 3 x 7 x 7 x 439

Step 4: Therefore, the least common multiple of 439 and 441 is 193599.