Least Common Multiple of 438 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 438 and 445 the smallest integer that is 194910 that is divisible by both numbers.
Least Common Multiple (LCM) of 438 and 445 is 194910.
LCM(438,445) = 194910
LCM of 438 and 445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 438 and 445 by Prime method
- Least Common Multiple of 438 and 445 with GCF Formula
LCM of 438 and 445 is 194910
Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 445. First we will calculate the prime factors of 438 and 445.
Prime Factorization of 438
| 2 | 438 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:
438 = 21×31×731
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 438 and 445.
LCM(438,445) = 21×31×51×731×891
LCM(438,445) = 194910
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Least Common Multiple of 438 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 438 and 445, than apply into the LCM equation.
GCF(438,445) = 1
LCM(438,445) = ( 438 × 445) / 1
LCM(438,445) = 194910 / 1
LCM(438,445) = 194910
Properties of LCM 438 and 445
(i) The LCM of 445 and 438 is associative
LCM of 438 and 445 = LCM of 445 and 438
Related Least Common Multiples of 438
Related Least Common Multiples of 445
Frequently Asked Questions on LCM of 438 and 445
1. What is the LCM of 438 and 445?
Answer: LCM of 438 and 445 is 194910.
2. What are the Factors of 438?
Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.
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 438 and 445?
Answer:
Least Common Multiple of 438 and 445 = 194910
Step 1: Find the prime factorization of 438
438 = 2 x 3 x 73
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 = 194910 = 2 x 3 x 5 x 73 x 89
Step 4: Therefore, the least common multiple of 438 and 445 is 194910.