Least Common Multiple of 447 and 451
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 447 and 451 the smallest integer that is 201597 that is divisible by both numbers.
Least Common Multiple (LCM) of 447 and 451 is 201597.
LCM(447,451) = 201597
LCM of 447 and 451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 447 and 451 by Prime method
- Least Common Multiple of 447 and 451 with GCF Formula
LCM of 447 and 451 is 201597
Least common multiple can be found by multiplying the highest exponent prime factors of 447 and 451. First we will calculate the prime factors of 447 and 451.
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
Prime Factorization of 451
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:
451 = 111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 447 and 451.
LCM(447,451) = 31×111×411×1491
LCM(447,451) = 201597
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Least Common Multiple of 447 and 451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 447 and 451, than apply into the LCM equation.
GCF(447,451) = 1
LCM(447,451) = ( 447 × 451) / 1
LCM(447,451) = 201597 / 1
LCM(447,451) = 201597
Properties of LCM 447 and 451
(i) The LCM of 451 and 447 is associative
LCM of 447 and 451 = LCM of 451 and 447
Related Least Common Multiples of 447
Related Least Common Multiples of 451
Frequently Asked Questions on LCM of 447 and 451
1. What is the LCM of 447 and 451?
Answer: LCM of 447 and 451 is 201597.
2. 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.
3. What are the Factors of 451?
Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.
4. How to Find the LCM of 447 and 451?
Answer:
Least Common Multiple of 447 and 451 = 201597
Step 1: Find the prime factorization of 447
447 = 3 x 149
Step 2: Find the prime factorization of 451
451 = 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 201597 = 3 x 11 x 41 x 149
Step 4: Therefore, the least common multiple of 447 and 451 is 201597.