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;
- Least Common Multiple of 441 and 447 by Prime method
- Least Common Multiple of 441 and 447 with GCF Formula
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
Related Least Common Multiples of 441
Related Least Common Multiples of 447
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.