Least Common Multiple of 437 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 437 and 445 the smallest integer that is 194465 that is divisible by both numbers.
Least Common Multiple (LCM) of 437 and 445 is 194465.
LCM(437,445) = 194465
LCM of 437 and 445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 437 and 445 by Prime method
- Least Common Multiple of 437 and 445 with GCF Formula
LCM of 437 and 445 is 194465
Least common multiple can be found by multiplying the highest exponent prime factors of 437 and 445. First we will calculate the prime factors of 437 and 445.
Prime Factorization of 437
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:
437 = 191×231
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 437 and 445.
LCM(437,445) = 51×191×231×891
LCM(437,445) = 194465
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Least Common Multiple of 437 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 437 and 445, than apply into the LCM equation.
GCF(437,445) = 1
LCM(437,445) = ( 437 × 445) / 1
LCM(437,445) = 194465 / 1
LCM(437,445) = 194465
Properties of LCM 437 and 445
(i) The LCM of 445 and 437 is associative
LCM of 437 and 445 = LCM of 445 and 437
Related Least Common Multiples of 437
Related Least Common Multiples of 445
Frequently Asked Questions on LCM of 437 and 445
1. What is the LCM of 437 and 445?
Answer: LCM of 437 and 445 is 194465.
2. What are the Factors of 437?
Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.
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 437 and 445?
Answer:
Least Common Multiple of 437 and 445 = 194465
Step 1: Find the prime factorization of 437
437 = 19 x 23
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 = 194465 = 5 x 19 x 23 x 89
Step 4: Therefore, the least common multiple of 437 and 445 is 194465.