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 4520 the smallest integer that is 4081560 that is divisible by both numbers.
Least Common Multiple (LCM) of 4515 and 4520 is 4081560.
LCM(4515,4520) = 4081560
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 4520. First we will calculate the prime factors of 4515 and 4520.
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 4520
2 | 4520 |
2 | 2260 |
2 | 1130 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 4520 are 2, 5,113. Prime factorization of 4520 in exponential form is:
4520 = 23×51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 4515 and 4520.
LCM(4515,4520) = 23×31×51×71×431×1131
LCM(4515,4520) = 4081560
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 4520
List of positive integer factors of 4520 that divides 4520 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4515 and 4520, than apply into the LCM equation.
GCF(4515,4520) = 5
LCM(4515,4520) = ( 4515 × 4520) / 5
LCM(4515,4520) = 20407800 / 5
LCM(4515,4520) = 4081560
(i) The LCM of 4520 and 4515 is associative
LCM of 4515 and 4520 = LCM of 4520 and 4515
1. What is the LCM of 4515 and 4520?
Answer: LCM of 4515 and 4520 is 4081560.
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 4520?
Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.
4. How to Find the LCM of 4515 and 4520?
Answer:
Least Common Multiple of 4515 and 4520 = 4081560
Step 1: Find the prime factorization of 4515
4515 = 3 x 5 x 7 x 43
Step 2: Find the prime factorization of 4520
4520 = 2 x 2 x 2 x 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4081560 = 2 x 2 x 2 x 3 x 5 x 7 x 43 x 113
Step 4: Therefore, the least common multiple of 4515 and 4520 is 4081560.