Least Common Multiple (LCM) of 140 and 32
The least common multiple (LCM) of 140 and 32 is 1120.
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 140 and 32?
First, calculate the GCD of 140 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 32 = 4 remainder 12 |
| 2 | 32 ÷ 12 = 2 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 164 | 4264 |
| 142 and 89 | 12638 |
| 12 and 74 | 444 |
| 18 and 77 | 1386 |
| 161 and 181 | 29141 |