Least Common Multiple (LCM) of 118 and 32
The least common multiple (LCM) of 118 and 32 is 1888.
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 32?
First, calculate the GCD of 118 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 32 = 3 remainder 22 |
| 2 | 32 ÷ 22 = 1 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 128 | 21376 |
| 156 and 153 | 7956 |
| 46 and 163 | 7498 |
| 96 and 121 | 11616 |
| 149 and 142 | 21158 |