Least Common Multiple of 9727 and 9735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9727 and 9735 the smallest integer that is 94692345 that is divisible by both numbers.
Least Common Multiple (LCM) of 9727 and 9735 is 94692345.
LCM(9727,9735) = 94692345
LCM of 9727 and 9735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9727 and 9735 by Prime method
- Least Common Multiple of 9727 and 9735 with GCF Formula
LCM of 9727 and 9735 is 94692345
Least common multiple can be found by multiplying the highest exponent prime factors of 9727 and 9735. First we will calculate the prime factors of 9727 and 9735.
Prime Factorization of 9727
| 71 | 9727 |
| 137 | 137 |
| 1 |
Prime factors of 9727 are 71,137. Prime factorization of 9727 in exponential form is:
9727 = 711×1371
Prime Factorization of 9735
| 3 | 9735 |
| 5 | 3245 |
| 11 | 649 |
| 59 | 59 |
| 1 |
Prime factors of 9735 are 3, 5, 11,59. Prime factorization of 9735 in exponential form is:
9735 = 31×51×111×591
Now multiplying the highest exponent prime factors to calculate the LCM of 9727 and 9735.
LCM(9727,9735) = 31×51×111×591×711×1371
LCM(9727,9735) = 94692345
Factors of 9727
List of positive integer factors of 9727 that divides 9727 without a remainder.
1, 71, 137, 9727
Factors of 9735
List of positive integer factors of 9735 that divides 9735 without a remainder.
1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
Least Common Multiple of 9727 and 9735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9727 and 9735, than apply into the LCM equation.
GCF(9727,9735) = 1
LCM(9727,9735) = ( 9727 × 9735) / 1
LCM(9727,9735) = 94692345 / 1
LCM(9727,9735) = 94692345
Properties of LCM 9727 and 9735
(i) The LCM of 9735 and 9727 is associative
LCM of 9727 and 9735 = LCM of 9735 and 9727
Related Least Common Multiples of 9727
Related Least Common Multiples of 9735
Frequently Asked Questions on LCM of 9727 and 9735
1. What is the LCM of 9727 and 9735?
Answer: LCM of 9727 and 9735 is 94692345.
2. What are the Factors of 9727?
Answer: Factors of 9727 are 1, 71, 137, 9727. There are 4 integers that are factors of 9727. The greatest factor of 9727 is 9727.
3. What are the Factors of 9735?
Answer: Factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735. There are 16 integers that are factors of 9735. The greatest factor of 9735 is 9735.
4. How to Find the LCM of 9727 and 9735?
Answer:
Least Common Multiple of 9727 and 9735 = 94692345
Step 1: Find the prime factorization of 9727
9727 = 71 x 137
Step 2: Find the prime factorization of 9735
9735 = 3 x 5 x 11 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94692345 = 3 x 5 x 11 x 59 x 71 x 137
Step 4: Therefore, the least common multiple of 9727 and 9735 is 94692345.