Least Common Multiple of 9727 and 9734
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 9734 the smallest integer that is 94682618 that is divisible by both numbers.
Least Common Multiple (LCM) of 9727 and 9734 is 94682618.
LCM(9727,9734) = 94682618
LCM of 9727 and 9734
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9727 and 9734 by Prime method
- Least Common Multiple of 9727 and 9734 with GCF Formula
LCM of 9727 and 9734 is 94682618
Least common multiple can be found by multiplying the highest exponent prime factors of 9727 and 9734. First we will calculate the prime factors of 9727 and 9734.
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 9734
| 2 | 9734 |
| 31 | 4867 |
| 157 | 157 |
| 1 |
Prime factors of 9734 are 2, 31,157. Prime factorization of 9734 in exponential form is:
9734 = 21×311×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 9727 and 9734.
LCM(9727,9734) = 21×311×711×1371×1571
LCM(9727,9734) = 94682618
Factors of 9727
List of positive integer factors of 9727 that divides 9727 without a remainder.
1, 71, 137, 9727
Factors of 9734
List of positive integer factors of 9734 that divides 9734 without a remainder.
1, 2, 31, 62, 157, 314, 4867, 9734
Least Common Multiple of 9727 and 9734 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 9734, than apply into the LCM equation.
GCF(9727,9734) = 1
LCM(9727,9734) = ( 9727 × 9734) / 1
LCM(9727,9734) = 94682618 / 1
LCM(9727,9734) = 94682618
Properties of LCM 9727 and 9734
(i) The LCM of 9734 and 9727 is associative
LCM of 9727 and 9734 = LCM of 9734 and 9727
Related Least Common Multiples of 9727
Related Least Common Multiples of 9734
Frequently Asked Questions on LCM of 9727 and 9734
1. What is the LCM of 9727 and 9734?
Answer: LCM of 9727 and 9734 is 94682618.
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 9734?
Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.
4. How to Find the LCM of 9727 and 9734?
Answer:
Least Common Multiple of 9727 and 9734 = 94682618
Step 1: Find the prime factorization of 9727
9727 = 71 x 137
Step 2: Find the prime factorization of 9734
9734 = 2 x 31 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 = 94682618 = 2 x 31 x 71 x 137 x 157
Step 4: Therefore, the least common multiple of 9727 and 9734 is 94682618.