Least Common Multiple of 439 and 447

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 447 the smallest integer that is 196233 that is divisible by both numbers.

Least Common Multiple (LCM) of 439 and 447 is 196233.

LCM(439,447) = 196233

LCM of 439 and 447

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

LCM of:
and

Least Common Multiple of 439 and 447

LCM of 439 and 447 is 196233

Least common multiple can be found by multiplying the highest exponent prime factors of 439 and 447. First we will calculate the prime factors of 439 and 447.

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 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 439 and 447.

LCM(439,447) = 31×1491×4391
LCM(439,447) = 196233

Factors of 439

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

1, 439

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Least Common Multiple of 439 and 447 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 447, than apply into the LCM equation.

GCF(439,447) = 1
LCM(439,447) = ( 439 × 447) / 1
LCM(439,447) = 196233 / 1
LCM(439,447) = 196233

Properties of LCM 439 and 447

(i) The LCM of 447 and 439 is associative

LCM of 439 and 447 = LCM of 447 and 439

Related Least Common Multiples of 439

Related Least Common Multiples of 447

Frequently Asked Questions on LCM of 439 and 447

1. What is the LCM of 439 and 447?

Answer: LCM of 439 and 447 is 196233.

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 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

4. How to Find the LCM of 439 and 447?

Answer:

Least Common Multiple of 439 and 447 = 196233

Step 1: Find the prime factorization of 439

439 = 439

Step 2: Find the prime factorization of 447

447 = 3 x 149

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

LCM = 196233 = 3 x 149 x 439

Step 4: Therefore, the least common multiple of 439 and 447 is 196233.