Least Common Multiple (LCM) of 118 and 108
The least common multiple (LCM) of 118 and 108 is 6372.
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 108?
First, calculate the GCD of 118 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 108 = 1 remainder 10 |
| 2 | 108 ÷ 10 = 10 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 17 | 3060 |
| 57 and 171 | 171 |
| 123 and 51 | 2091 |
| 11 and 37 | 407 |
| 154 and 74 | 5698 |