Least Common Multiple of 7742 and 7747
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7742 and 7747 the smallest integer that is 59977274 that is divisible by both numbers.
Least Common Multiple (LCM) of 7742 and 7747 is 59977274.
LCM(7742,7747) = 59977274
LCM of 7742 and 7747
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7742 and 7747 by Prime method
- Least Common Multiple of 7742 and 7747 with GCF Formula
LCM of 7742 and 7747 is 59977274
Least common multiple can be found by multiplying the highest exponent prime factors of 7742 and 7747. First we will calculate the prime factors of 7742 and 7747.
Prime Factorization of 7742
| 2 | 7742 |
| 7 | 3871 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 7742 are 2, 7,79. Prime factorization of 7742 in exponential form is:
7742 = 21×72×791
Prime Factorization of 7747
| 61 | 7747 |
| 127 | 127 |
| 1 |
Prime factors of 7747 are 61,127. Prime factorization of 7747 in exponential form is:
7747 = 611×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 7742 and 7747.
LCM(7742,7747) = 21×72×611×791×1271
LCM(7742,7747) = 59977274
Factors of 7742
List of positive integer factors of 7742 that divides 7742 without a remainder.
1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742
Factors of 7747
List of positive integer factors of 7747 that divides 7747 without a remainder.
1, 61, 127, 7747
Least Common Multiple of 7742 and 7747 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7742 and 7747, than apply into the LCM equation.
GCF(7742,7747) = 1
LCM(7742,7747) = ( 7742 × 7747) / 1
LCM(7742,7747) = 59977274 / 1
LCM(7742,7747) = 59977274
Properties of LCM 7742 and 7747
(i) The LCM of 7747 and 7742 is associative
LCM of 7742 and 7747 = LCM of 7747 and 7742
Related Least Common Multiples of 7742
Related Least Common Multiples of 7747
Frequently Asked Questions on LCM of 7742 and 7747
1. What is the LCM of 7742 and 7747?
Answer: LCM of 7742 and 7747 is 59977274.
2. What are the Factors of 7742?
Answer: Factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742. There are 12 integers that are factors of 7742. The greatest factor of 7742 is 7742.
3. What are the Factors of 7747?
Answer: Factors of 7747 are 1, 61, 127, 7747. There are 4 integers that are factors of 7747. The greatest factor of 7747 is 7747.
4. How to Find the LCM of 7742 and 7747?
Answer:
Least Common Multiple of 7742 and 7747 = 59977274
Step 1: Find the prime factorization of 7742
7742 = 2 x 7 x 7 x 79
Step 2: Find the prime factorization of 7747
7747 = 61 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59977274 = 2 x 7 x 7 x 61 x 79 x 127
Step 4: Therefore, the least common multiple of 7742 and 7747 is 59977274.