Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15207 and 15215 the smallest integer that is 231374505 that is divisible by both numbers.
Least Common Multiple (LCM) of 15207 and 15215 is 231374505.
LCM(15207,15215) = 231374505
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 15207 and 15215. First we will calculate the prime factors of 15207 and 15215.
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
Prime Factorization of 15215
5 | 15215 |
17 | 3043 |
179 | 179 |
1 |
Prime factors of 15215 are 5, 17,179. Prime factorization of 15215 in exponential form is:
15215 = 51×171×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 15207 and 15215.
LCM(15207,15215) = 31×51×171×371×1371×1791
LCM(15207,15215) = 231374505
Factors of 15207
List of positive integer factors of 15207 that divides 15207 without a remainder.
1, 3, 37, 111, 137, 411, 5069, 15207
Factors of 15215
List of positive integer factors of 15215 that divides 15215 without a remainder.
1, 5, 17, 85, 179, 895, 3043, 15215
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15207 and 15215, than apply into the LCM equation.
GCF(15207,15215) = 1
LCM(15207,15215) = ( 15207 × 15215) / 1
LCM(15207,15215) = 231374505 / 1
LCM(15207,15215) = 231374505
(i) The LCM of 15215 and 15207 is associative
LCM of 15207 and 15215 = LCM of 15215 and 15207
1. What is the LCM of 15207 and 15215?
Answer: LCM of 15207 and 15215 is 231374505.
2. 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.
3. What are the Factors of 15215?
Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.
4. How to Find the LCM of 15207 and 15215?
Answer:
Least Common Multiple of 15207 and 15215 = 231374505
Step 1: Find the prime factorization of 15207
15207 = 3 x 37 x 137
Step 2: Find the prime factorization of 15215
15215 = 5 x 17 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231374505 = 3 x 5 x 17 x 37 x 137 x 179
Step 4: Therefore, the least common multiple of 15207 and 15215 is 231374505.