Least Common Multiple (LCM) of 131 and 118
The least common multiple (LCM) of 131 and 118 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 131 and 118?
First, calculate the GCD of 131 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 118 = 1 remainder 13 |
| 2 | 118 ÷ 13 = 9 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 149 | 149 |
| 103 and 137 | 14111 |
| 75 and 17 | 1275 |
| 53 and 149 | 7897 |
| 120 and 98 | 5880 |