Least Common Multiple (LCM) of 32 and 118
The least common multiple (LCM) of 32 and 118 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 32 and 118?
First, calculate the GCD of 32 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 118 = 0 remainder 32 |
| 2 | 118 ÷ 32 = 3 remainder 22 |
| 3 | 32 ÷ 22 = 1 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 199 | 8159 |
| 11 and 78 | 858 |
| 130 and 144 | 9360 |
| 120 and 68 | 2040 |
| 114 and 84 | 1596 |