Least Common Multiple (LCM) of 118 and 131
The least common multiple (LCM) of 118 and 131 is 15458.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 118 and 131?
First, calculate the GCD of 118 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 131 = 0 remainder 118 |
| 2 | 131 ÷ 118 = 1 remainder 13 |
| 3 | 118 ÷ 13 = 9 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 75 | 9825 |
| 162 and 80 | 6480 |
| 97 and 76 | 7372 |
| 153 and 109 | 16677 |
| 40 and 75 | 600 |