Least Common Multiple (LCM) of 145 and 32
The least common multiple (LCM) of 145 and 32 is 4640.
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 145 and 32?
First, calculate the GCD of 145 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 32 = 4 remainder 17 |
| 2 | 32 ÷ 17 = 1 remainder 15 |
| 3 | 17 ÷ 15 = 1 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 71 | 3053 |
| 148 and 194 | 14356 |
| 139 and 165 | 22935 |
| 189 and 186 | 11718 |
| 155 and 85 | 2635 |