Least Common Multiple of 601 and 605
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 601 and 605 the smallest integer that is 363605 that is divisible by both numbers.
Least Common Multiple (LCM) of 601 and 605 is 363605.
LCM(601,605) = 363605
LCM of 601 and 605
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 601 and 605 by Prime method
- Least Common Multiple of 601 and 605 with GCF Formula
LCM of 601 and 605 is 363605
Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 605. First we will calculate the prime factors of 601 and 605.
Prime Factorization of 601
| 601 | 601 |
| 1 |
Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:
601 = 6011
Prime Factorization of 605
| 5 | 605 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:
605 = 51×112
Now multiplying the highest exponent prime factors to calculate the LCM of 601 and 605.
LCM(601,605) = 51×112×6011
LCM(601,605) = 363605
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1, 601
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Least Common Multiple of 601 and 605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 601 and 605, than apply into the LCM equation.
GCF(601,605) = 1
LCM(601,605) = ( 601 × 605) / 1
LCM(601,605) = 363605 / 1
LCM(601,605) = 363605
Properties of LCM 601 and 605
(i) The LCM of 605 and 601 is associative
LCM of 601 and 605 = LCM of 605 and 601
Related Least Common Multiples of 601
Related Least Common Multiples of 605
Frequently Asked Questions on LCM of 601 and 605
1. What is the LCM of 601 and 605?
Answer: LCM of 601 and 605 is 363605.
2. What are the Factors of 601?
Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.
3. What are the Factors of 605?
Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.
4. How to Find the LCM of 601 and 605?
Answer:
Least Common Multiple of 601 and 605 = 363605
Step 1: Find the prime factorization of 601
601 = 601
Step 2: Find the prime factorization of 605
605 = 5 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 363605 = 5 x 11 x 11 x 601
Step 4: Therefore, the least common multiple of 601 and 605 is 363605.