Least Common Multiple (LCM) of 118 and 122
The least common multiple (LCM) of 118 and 122 is 7198.
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 122?
First, calculate the GCD of 118 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 122 = 0 remainder 118 |
| 2 | 122 ÷ 118 = 1 remainder 4 |
| 3 | 118 ÷ 4 = 29 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 164 | 20828 |
| 180 and 19 | 3420 |
| 106 and 114 | 6042 |
| 177 and 189 | 11151 |
| 48 and 57 | 912 |