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 |
|---|---|
| 124 and 98 | 6076 |
| 101 and 133 | 13433 |
| 99 and 13 | 1287 |
| 190 and 121 | 22990 |
| 166 and 75 | 12450 |