Least Common Multiple of 15203 and 15207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15203 and 15207 the smallest integer that is 231192021 that is divisible by both numbers.
Least Common Multiple (LCM) of 15203 and 15207 is 231192021.
LCM(15203,15207) = 231192021
LCM of 15203 and 15207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15203 and 15207 by Prime method
- Least Common Multiple of 15203 and 15207 with GCF Formula
LCM of 15203 and 15207 is 231192021
Least common multiple can be found by multiplying the highest exponent prime factors of 15203 and 15207. First we will calculate the prime factors of 15203 and 15207.
Prime Factorization of 15203
| 23 | 15203 |
| 661 | 661 |
| 1 |
Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:
15203 = 231×6611
Prime Factorization of 15207
| 3 | 15207 |
| 37 | 5069 |
| 137 | 137 |
| 1 |
Prime factors of 15207 are 3, 37,137. Prime factorization of 15207 in exponential form is:
15207 = 31×371×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 15203 and 15207.
LCM(15203,15207) = 31×231×371×1371×6611
LCM(15203,15207) = 231192021
Factors of 15203
List of positive integer factors of 15203 that divides 15203 without a remainder.
1, 23, 661, 15203
Factors of 15207
List of positive integer factors of 15207 that divides 15207 without a remainder.
1, 3, 37, 111, 137, 411, 5069, 15207
Least Common Multiple of 15203 and 15207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15203 and 15207, than apply into the LCM equation.
GCF(15203,15207) = 1
LCM(15203,15207) = ( 15203 × 15207) / 1
LCM(15203,15207) = 231192021 / 1
LCM(15203,15207) = 231192021
Properties of LCM 15203 and 15207
(i) The LCM of 15207 and 15203 is associative
LCM of 15203 and 15207 = LCM of 15207 and 15203
Related Least Common Multiples of 15203
Related Least Common Multiples of 15207
Frequently Asked Questions on LCM of 15203 and 15207
1. What is the LCM of 15203 and 15207?
Answer: LCM of 15203 and 15207 is 231192021.
2. What are the Factors of 15203?
Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.
3. What are the Factors of 15207?
Answer: Factors of 15207 are 1, 3, 37, 111, 137, 411, 5069, 15207. There are 8 integers that are factors of 15207. The greatest factor of 15207 is 15207.
4. How to Find the LCM of 15203 and 15207?
Answer:
Least Common Multiple of 15203 and 15207 = 231192021
Step 1: Find the prime factorization of 15203
15203 = 23 x 661
Step 2: Find the prime factorization of 15207
15207 = 3 x 37 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231192021 = 3 x 23 x 37 x 137 x 661
Step 4: Therefore, the least common multiple of 15203 and 15207 is 231192021.