Least Common Multiple (LCM) of 32 and 95
The least common multiple (LCM) of 32 and 95 is 3040.
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 95?
First, calculate the GCD of 32 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 95 = 0 remainder 32 |
| 2 | 95 ÷ 32 = 2 remainder 31 |
| 3 | 32 ÷ 31 = 1 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 77 | 1848 |
| 22 and 21 | 462 |
| 58 and 127 | 7366 |
| 169 and 150 | 25350 |
| 198 and 74 | 7326 |