Least Common Multiple of 301 and 305
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 301 and 305 the smallest integer that is 91805 that is divisible by both numbers.
Least Common Multiple (LCM) of 301 and 305 is 91805.
LCM(301,305) = 91805
LCM of 301 and 305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 301 and 305 by Prime method
- Least Common Multiple of 301 and 305 with GCF Formula
LCM of 301 and 305 is 91805
Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 305. First we will calculate the prime factors of 301 and 305.
Prime Factorization of 301
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:
301 = 71×431
Prime Factorization of 305
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:
305 = 51×611
Now multiplying the highest exponent prime factors to calculate the LCM of 301 and 305.
LCM(301,305) = 51×71×431×611
LCM(301,305) = 91805
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Least Common Multiple of 301 and 305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 301 and 305, than apply into the LCM equation.
GCF(301,305) = 1
LCM(301,305) = ( 301 × 305) / 1
LCM(301,305) = 91805 / 1
LCM(301,305) = 91805
Properties of LCM 301 and 305
(i) The LCM of 305 and 301 is associative
LCM of 301 and 305 = LCM of 305 and 301
Related Least Common Multiples of 301
Related Least Common Multiples of 305
Frequently Asked Questions on LCM of 301 and 305
1. What is the LCM of 301 and 305?
Answer: LCM of 301 and 305 is 91805.
2. What are the Factors of 301?
Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.
3. What are the Factors of 305?
Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.
4. How to Find the LCM of 301 and 305?
Answer:
Least Common Multiple of 301 and 305 = 91805
Step 1: Find the prime factorization of 301
301 = 7 x 43
Step 2: Find the prime factorization of 305
305 = 5 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91805 = 5 x 7 x 43 x 61
Step 4: Therefore, the least common multiple of 301 and 305 is 91805.
