Least Common Multiple (LCM) of 155 and 32
The least common multiple (LCM) of 155 and 32 is 4960.
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 155 and 32?
First, calculate the GCD of 155 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 32 = 4 remainder 27 |
| 2 | 32 ÷ 27 = 1 remainder 5 |
| 3 | 27 ÷ 5 = 5 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 126 | 2142 |
| 76 and 95 | 380 |
| 197 and 125 | 24625 |
| 196 and 58 | 5684 |
| 167 and 112 | 18704 |