Least Common Multiple of 36301 and 36307
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36301 and 36307 the smallest integer that is 1317980407 that is divisible by both numbers.
Least Common Multiple (LCM) of 36301 and 36307 is 1317980407.
LCM(36301,36307) = 1317980407
LCM of 36301 and 36307
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36301 and 36307 by Prime method
- Least Common Multiple of 36301 and 36307 with GCF Formula
LCM of 36301 and 36307 is 1317980407
Least common multiple can be found by multiplying the highest exponent prime factors of 36301 and 36307. First we will calculate the prime factors of 36301 and 36307.
Prime Factorization of 36301
| 31 | 36301 |
| 1171 | 1171 |
| 1 |
Prime factors of 36301 are 31,1171. Prime factorization of 36301 in exponential form is:
36301 = 311×11711
Prime Factorization of 36307
| 36307 | 36307 |
| 1 |
Prime factors of 36307 are 36307. Prime factorization of 36307 in exponential form is:
36307 = 363071
Now multiplying the highest exponent prime factors to calculate the LCM of 36301 and 36307.
LCM(36301,36307) = 311×11711×363071
LCM(36301,36307) = 1317980407
Factors of 36301
List of positive integer factors of 36301 that divides 36301 without a remainder.
1, 31, 1171, 36301
Factors of 36307
List of positive integer factors of 36307 that divides 36307 without a remainder.
1, 36307
Least Common Multiple of 36301 and 36307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36301 and 36307, than apply into the LCM equation.
GCF(36301,36307) = 1
LCM(36301,36307) = ( 36301 × 36307) / 1
LCM(36301,36307) = 1317980407 / 1
LCM(36301,36307) = 1317980407
Properties of LCM 36301 and 36307
(i) The LCM of 36307 and 36301 is associative
LCM of 36301 and 36307 = LCM of 36307 and 36301
Related Least Common Multiples of 36301
Related Least Common Multiples of 36307
Frequently Asked Questions on LCM of 36301 and 36307
1. What is the LCM of 36301 and 36307?
Answer: LCM of 36301 and 36307 is 1317980407.
2. What are the Factors of 36301?
Answer: Factors of 36301 are 1, 31, 1171, 36301. There are 4 integers that are factors of 36301. The greatest factor of 36301 is 36301.
3. What are the Factors of 36307?
Answer: Factors of 36307 are 1, 36307. There are 2 integers that are factors of 36307. The greatest factor of 36307 is 36307.
4. How to Find the LCM of 36301 and 36307?
Answer:
Least Common Multiple of 36301 and 36307 = 1317980407
Step 1: Find the prime factorization of 36301
36301 = 31 x 1171
Step 2: Find the prime factorization of 36307
36307 = 36307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1317980407 = 31 x 1171 x 36307
Step 4: Therefore, the least common multiple of 36301 and 36307 is 1317980407.