Least Common Multiple (LCM) of 100 and 32
The least common multiple (LCM) of 100 and 32 is 800.
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 100 and 32?
First, calculate the GCD of 100 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 32 = 3 remainder 4 |
| 2 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 75 | 1650 |
| 66 and 98 | 3234 |
| 192 and 192 | 192 |
| 148 and 172 | 6364 |
| 144 and 199 | 28656 |