Least Common Multiple of 9570 and 9577
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9570 and 9577 the smallest integer that is 91651890 that is divisible by both numbers.
Least Common Multiple (LCM) of 9570 and 9577 is 91651890.
LCM(9570,9577) = 91651890
LCM of 9570 and 9577
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9570 and 9577 by Prime method
- Least Common Multiple of 9570 and 9577 with GCF Formula
LCM of 9570 and 9577 is 91651890
Least common multiple can be found by multiplying the highest exponent prime factors of 9570 and 9577. First we will calculate the prime factors of 9570 and 9577.
Prime Factorization of 9570
| 2 | 9570 |
| 3 | 4785 |
| 5 | 1595 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 9570 are 2, 3, 5, 11,29. Prime factorization of 9570 in exponential form is:
9570 = 21×31×51×111×291
Prime Factorization of 9577
| 61 | 9577 |
| 157 | 157 |
| 1 |
Prime factors of 9577 are 61,157. Prime factorization of 9577 in exponential form is:
9577 = 611×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 9570 and 9577.
LCM(9570,9577) = 21×31×51×111×291×611×1571
LCM(9570,9577) = 91651890
Factors of 9570
List of positive integer factors of 9570 that divides 9570 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
Factors of 9577
List of positive integer factors of 9577 that divides 9577 without a remainder.
1, 61, 157, 9577
Least Common Multiple of 9570 and 9577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9570 and 9577, than apply into the LCM equation.
GCF(9570,9577) = 1
LCM(9570,9577) = ( 9570 × 9577) / 1
LCM(9570,9577) = 91651890 / 1
LCM(9570,9577) = 91651890
Properties of LCM 9570 and 9577
(i) The LCM of 9577 and 9570 is associative
LCM of 9570 and 9577 = LCM of 9577 and 9570
Related Least Common Multiples of 9570
Related Least Common Multiples of 9577
Frequently Asked Questions on LCM of 9570 and 9577
1. What is the LCM of 9570 and 9577?
Answer: LCM of 9570 and 9577 is 91651890.
2. What are the Factors of 9570?
Answer: Factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570. There are 32 integers that are factors of 9570. The greatest factor of 9570 is 9570.
3. What are the Factors of 9577?
Answer: Factors of 9577 are 1, 61, 157, 9577. There are 4 integers that are factors of 9577. The greatest factor of 9577 is 9577.
4. How to Find the LCM of 9570 and 9577?
Answer:
Least Common Multiple of 9570 and 9577 = 91651890
Step 1: Find the prime factorization of 9570
9570 = 2 x 3 x 5 x 11 x 29
Step 2: Find the prime factorization of 9577
9577 = 61 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91651890 = 2 x 3 x 5 x 11 x 29 x 61 x 157
Step 4: Therefore, the least common multiple of 9570 and 9577 is 91651890.