Least Common Multiple of 441 and 445
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 445 the smallest integer that is 196245 that is divisible by both numbers.
Least Common Multiple (LCM) of 441 and 445 is 196245.
LCM(441,445) = 196245
LCM of 441 and 445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 441 and 445 by Prime method
- Least Common Multiple of 441 and 445 with GCF Formula
LCM of 441 and 445 is 196245
Least common multiple can be found by multiplying the highest exponent prime factors of 441 and 445. First we will calculate the prime factors of 441 and 445.
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 445
| 5 | 445 |
| 89 | 89 |
| 1 |
Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:
445 = 51×891
Now multiplying the highest exponent prime factors to calculate the LCM of 441 and 445.
LCM(441,445) = 32×51×72×891
LCM(441,445) = 196245
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 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Least Common Multiple of 441 and 445 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 445, than apply into the LCM equation.
GCF(441,445) = 1
LCM(441,445) = ( 441 × 445) / 1
LCM(441,445) = 196245 / 1
LCM(441,445) = 196245
Properties of LCM 441 and 445
(i) The LCM of 445 and 441 is associative
LCM of 441 and 445 = LCM of 445 and 441
Related Least Common Multiples of 441
Related Least Common Multiples of 445
Frequently Asked Questions on LCM of 441 and 445
1. What is the LCM of 441 and 445?
Answer: LCM of 441 and 445 is 196245.
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 445?
Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.
4. How to Find the LCM of 441 and 445?
Answer:
Least Common Multiple of 441 and 445 = 196245
Step 1: Find the prime factorization of 441
441 = 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 445
445 = 5 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 196245 = 3 x 3 x 5 x 7 x 7 x 89
Step 4: Therefore, the least common multiple of 441 and 445 is 196245.
