Least Common Multiple (LCM) of 118 and 34
The least common multiple (LCM) of 118 and 34 is 2006.
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 34?
First, calculate the GCD of 118 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 34 = 3 remainder 16 |
| 2 | 34 ÷ 16 = 2 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 17 | 1717 |
| 75 and 12 | 300 |
| 82 and 199 | 16318 |
| 177 and 32 | 5664 |
| 141 and 150 | 7050 |