Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4515 and 4521 the smallest integer that is 6804105 that is divisible by both numbers.
Least Common Multiple (LCM) of 4515 and 4521 is 6804105.
LCM(4515,4521) = 6804105
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 4515 and 4521. First we will calculate the prime factors of 4515 and 4521.
Prime Factorization of 4515
3 | 4515 |
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 4515 are 3, 5, 7,43. Prime factorization of 4515 in exponential form is:
4515 = 31×51×71×431
Prime Factorization of 4521
3 | 4521 |
11 | 1507 |
137 | 137 |
1 |
Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:
4521 = 31×111×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 4515 and 4521.
LCM(4515,4521) = 31×51×71×111×431×1371
LCM(4515,4521) = 6804105
Factors of 4515
List of positive integer factors of 4515 that divides 4515 without a remainder.
1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515
Factors of 4521
List of positive integer factors of 4521 that divides 4521 without a remainder.
1, 3, 11, 33, 137, 411, 1507, 4521
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4515 and 4521, than apply into the LCM equation.
GCF(4515,4521) = 3
LCM(4515,4521) = ( 4515 × 4521) / 3
LCM(4515,4521) = 20412315 / 3
LCM(4515,4521) = 6804105
(i) The LCM of 4521 and 4515 is associative
LCM of 4515 and 4521 = LCM of 4521 and 4515
1. What is the LCM of 4515 and 4521?
Answer: LCM of 4515 and 4521 is 6804105.
2. What are the Factors of 4515?
Answer: Factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515. There are 16 integers that are factors of 4515. The greatest factor of 4515 is 4515.
3. What are the Factors of 4521?
Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.
4. How to Find the LCM of 4515 and 4521?
Answer:
Least Common Multiple of 4515 and 4521 = 6804105
Step 1: Find the prime factorization of 4515
4515 = 3 x 5 x 7 x 43
Step 2: Find the prime factorization of 4521
4521 = 3 x 11 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 = 6804105 = 3 x 5 x 7 x 11 x 43 x 137
Step 4: Therefore, the least common multiple of 4515 and 4521 is 6804105.