Least Common Multiple of 441 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 441 and 447 the smallest integer that is 65709 that is divisible by both numbers.

Least Common Multiple (LCM) of 441 and 447 is 65709.

LCM(441,447) = 65709

LCM of 441 and 447

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

LCM of:
and

Least Common Multiple of 441 and 447

LCM of 441 and 447 is 65709

Least common multiple can be found by multiplying the highest exponent prime factors of 441 and 447. First we will calculate the prime factors of 441 and 447.

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

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 441 and 447.

LCM(441,447) = 32×72×1491
LCM(441,447) = 65709

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

Factors of 447

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

1, 3, 149, 447

Least Common Multiple of 441 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 441 and 447, than apply into the LCM equation.

GCF(441,447) = 3
LCM(441,447) = ( 441 × 447) / 3
LCM(441,447) = 197127 / 3
LCM(441,447) = 65709

Properties of LCM 441 and 447

(i) The LCM of 447 and 441 is associative

LCM of 441 and 447 = LCM of 447 and 441

Frequently Asked Questions on LCM of 441 and 447

1. What is the LCM of 441 and 447?

Answer: LCM of 441 and 447 is 65709.

2. 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.

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 441 and 447?

Answer:

Least Common Multiple of 441 and 447 = 65709

Step 1: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

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 = 65709 = 3 x 3 x 7 x 7 x 149

Step 4: Therefore, the least common multiple of 441 and 447 is 65709.