Least Common Multiple (LCM) of 118 and 181
The least common multiple (LCM) of 118 and 181 is 21358.
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 181?
First, calculate the GCD of 118 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 181 = 0 remainder 118 |
| 2 | 181 ÷ 118 = 1 remainder 63 |
| 3 | 118 ÷ 63 = 1 remainder 55 |
| 4 | 63 ÷ 55 = 1 remainder 8 |
| 5 | 55 ÷ 8 = 6 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 52 | 1404 |
| 168 and 61 | 10248 |
| 109 and 107 | 11663 |
| 118 and 181 | 21358 |
| 167 and 140 | 23380 |