Least Common Multiple of 9727 and 9731
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 9731 the smallest integer that is 94653437 that is divisible by both numbers.
Least Common Multiple (LCM) of 9727 and 9731 is 94653437.
LCM(9727,9731) = 94653437
LCM of 9727 and 9731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9727 and 9731 by Prime method
- Least Common Multiple of 9727 and 9731 with GCF Formula
LCM of 9727 and 9731 is 94653437
Least common multiple can be found by multiplying the highest exponent prime factors of 9727 and 9731. First we will calculate the prime factors of 9727 and 9731.
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 9731
| 37 | 9731 |
| 263 | 263 |
| 1 |
Prime factors of 9731 are 37,263. Prime factorization of 9731 in exponential form is:
9731 = 371×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 9727 and 9731.
LCM(9727,9731) = 371×711×1371×2631
LCM(9727,9731) = 94653437
Factors of 9727
List of positive integer factors of 9727 that divides 9727 without a remainder.
1, 71, 137, 9727
Factors of 9731
List of positive integer factors of 9731 that divides 9731 without a remainder.
1, 37, 263, 9731
Least Common Multiple of 9727 and 9731 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 9731, than apply into the LCM equation.
GCF(9727,9731) = 1
LCM(9727,9731) = ( 9727 × 9731) / 1
LCM(9727,9731) = 94653437 / 1
LCM(9727,9731) = 94653437
Properties of LCM 9727 and 9731
(i) The LCM of 9731 and 9727 is associative
LCM of 9727 and 9731 = LCM of 9731 and 9727
Related Least Common Multiples of 9727
Related Least Common Multiples of 9731
Frequently Asked Questions on LCM of 9727 and 9731
1. What is the LCM of 9727 and 9731?
Answer: LCM of 9727 and 9731 is 94653437.
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 9731?
Answer: Factors of 9731 are 1, 37, 263, 9731. There are 4 integers that are factors of 9731. The greatest factor of 9731 is 9731.
4. How to Find the LCM of 9727 and 9731?
Answer:
Least Common Multiple of 9727 and 9731 = 94653437
Step 1: Find the prime factorization of 9727
9727 = 71 x 137
Step 2: Find the prime factorization of 9731
9731 = 37 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94653437 = 37 x 71 x 137 x 263
Step 4: Therefore, the least common multiple of 9727 and 9731 is 94653437.