Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1516 and 1520 the smallest integer that is 576080 that is divisible by both numbers.
Least Common Multiple (LCM) of 1516 and 1520 is 576080.
LCM(1516,1520) = 576080
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 1516 and 1520. First we will calculate the prime factors of 1516 and 1520.
Prime Factorization of 1516
2 | 1516 |
2 | 758 |
379 | 379 |
1 |
Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:
1516 = 22×3791
Prime Factorization of 1520
2 | 1520 |
2 | 760 |
2 | 380 |
2 | 190 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 1520 are 2, 5,19. Prime factorization of 1520 in exponential form is:
1520 = 24×51×191
Now multiplying the highest exponent prime factors to calculate the LCM of 1516 and 1520.
LCM(1516,1520) = 24×51×191×3791
LCM(1516,1520) = 576080
Factors of 1516
List of positive integer factors of 1516 that divides 1516 without a remainder.
1, 2, 4, 379, 758, 1516
Factors of 1520
List of positive integer factors of 1520 that divides 1520 without a remainder.
1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1516 and 1520, than apply into the LCM equation.
GCF(1516,1520) = 4
LCM(1516,1520) = ( 1516 × 1520) / 4
LCM(1516,1520) = 2304320 / 4
LCM(1516,1520) = 576080
(i) The LCM of 1520 and 1516 is associative
LCM of 1516 and 1520 = LCM of 1520 and 1516
1. What is the LCM of 1516 and 1520?
Answer: LCM of 1516 and 1520 is 576080.
2. What are the Factors of 1516?
Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.
3. What are the Factors of 1520?
Answer: Factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520. There are 20 integers that are factors of 1520. The greatest factor of 1520 is 1520.
4. How to Find the LCM of 1516 and 1520?
Answer:
Least Common Multiple of 1516 and 1520 = 576080
Step 1: Find the prime factorization of 1516
1516 = 2 x 2 x 379
Step 2: Find the prime factorization of 1520
1520 = 2 x 2 x 2 x 2 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 576080 = 2 x 2 x 2 x 2 x 5 x 19 x 379
Step 4: Therefore, the least common multiple of 1516 and 1520 is 576080.