Least Common Multiple of 445 and 453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 445 and 453 the smallest integer that is 201585 that is divisible by both numbers.
Least Common Multiple (LCM) of 445 and 453 is 201585.
LCM(445,453) = 201585
LCM of 445 and 453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 445 and 453 by Prime method
- Least Common Multiple of 445 and 453 with GCF Formula
LCM of 445 and 453 is 201585
Least common multiple can be found by multiplying the highest exponent prime factors of 445 and 453. First we will calculate the prime factors of 445 and 453.
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
Prime Factorization of 453
| 3 | 453 |
| 151 | 151 |
| 1 |
Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:
453 = 31×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 445 and 453.
LCM(445,453) = 31×51×891×1511
LCM(445,453) = 201585
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Least Common Multiple of 445 and 453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 445 and 453, than apply into the LCM equation.
GCF(445,453) = 1
LCM(445,453) = ( 445 × 453) / 1
LCM(445,453) = 201585 / 1
LCM(445,453) = 201585
Properties of LCM 445 and 453
(i) The LCM of 453 and 445 is associative
LCM of 445 and 453 = LCM of 453 and 445
Related Least Common Multiples of 445
Related Least Common Multiples of 453
Frequently Asked Questions on LCM of 445 and 453
1. What is the LCM of 445 and 453?
Answer: LCM of 445 and 453 is 201585.
2. 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.
3. What are the Factors of 453?
Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.
4. How to Find the LCM of 445 and 453?
Answer:
Least Common Multiple of 445 and 453 = 201585
Step 1: Find the prime factorization of 445
445 = 5 x 89
Step 2: Find the prime factorization of 453
453 = 3 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 201585 = 3 x 5 x 89 x 151
Step 4: Therefore, the least common multiple of 445 and 453 is 201585.
