Least Common Multiple (LCM) of 119 and 118
The least common multiple (LCM) of 119 and 118 is 14042.
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 119 and 118?
First, calculate the GCD of 119 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 118 = 1 remainder 1 |
| 2 | 118 ÷ 1 = 118 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 71 | 12212 |
| 182 and 196 | 2548 |
| 125 and 72 | 9000 |
| 19 and 31 | 589 |
| 158 and 103 | 16274 |