Least Common Multiple (LCM) of 32 and 40
The least common multiple (LCM) of 32 and 40 is 160.
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 40?
First, calculate the GCD of 32 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 40 = 0 remainder 32 |
| 2 | 40 ÷ 32 = 1 remainder 8 |
| 3 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 36 | 36 |
| 170 and 13 | 2210 |
| 128 and 120 | 1920 |
| 52 and 18 | 468 |
| 28 and 101 | 2828 |