Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9519 and 9520 the smallest integer that is 90620880 that is divisible by both numbers.
Least Common Multiple (LCM) of 9519 and 9520 is 90620880.
LCM(9519,9520) = 90620880
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 9519 and 9520. First we will calculate the prime factors of 9519 and 9520.
Prime Factorization of 9519
3 | 9519 |
19 | 3173 |
167 | 167 |
1 |
Prime factors of 9519 are 3, 19,167. Prime factorization of 9519 in exponential form is:
9519 = 31×191×1671
Prime Factorization of 9520
2 | 9520 |
2 | 4760 |
2 | 2380 |
2 | 1190 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 9520 are 2, 5, 7,17. Prime factorization of 9520 in exponential form is:
9520 = 24×51×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 9519 and 9520.
LCM(9519,9520) = 24×31×51×71×171×191×1671
LCM(9519,9520) = 90620880
Factors of 9519
List of positive integer factors of 9519 that divides 9519 without a remainder.
1, 3, 19, 57, 167, 501, 3173, 9519
Factors of 9520
List of positive integer factors of 9520 that divides 9520 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9519 and 9520, than apply into the LCM equation.
GCF(9519,9520) = 1
LCM(9519,9520) = ( 9519 × 9520) / 1
LCM(9519,9520) = 90620880 / 1
LCM(9519,9520) = 90620880
(i) The LCM of 9520 and 9519 is associative
LCM of 9519 and 9520 = LCM of 9520 and 9519
1. What is the LCM of 9519 and 9520?
Answer: LCM of 9519 and 9520 is 90620880.
2. What are the Factors of 9519?
Answer: Factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519. There are 8 integers that are factors of 9519. The greatest factor of 9519 is 9519.
3. What are the Factors of 9520?
Answer: Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. There are 40 integers that are factors of 9520. The greatest factor of 9520 is 9520.
4. How to Find the LCM of 9519 and 9520?
Answer:
Least Common Multiple of 9519 and 9520 = 90620880
Step 1: Find the prime factorization of 9519
9519 = 3 x 19 x 167
Step 2: Find the prime factorization of 9520
9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90620880 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 19 x 167
Step 4: Therefore, the least common multiple of 9519 and 9520 is 90620880.