Least Common Multiple (LCM) of 32 and 36
The least common multiple (LCM) of 32 and 36 is 288.
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 36?
First, calculate the GCD of 32 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 36 = 0 remainder 32 |
| 2 | 36 ÷ 32 = 1 remainder 4 |
| 3 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 176 | 33264 |
| 118 and 10 | 590 |
| 55 and 136 | 7480 |
| 76 and 117 | 8892 |
| 147 and 21 | 147 |