Least Common Multiple (LCM) of 32 and 145
The least common multiple (LCM) of 32 and 145 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 32 and 145?
First, calculate the GCD of 32 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 145 = 0 remainder 32 |
| 2 | 145 ÷ 32 = 4 remainder 17 |
| 3 | 32 ÷ 17 = 1 remainder 15 |
| 4 | 17 ÷ 15 = 1 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 126 | 18774 |
| 127 and 71 | 9017 |
| 60 and 80 | 240 |
| 90 and 102 | 1530 |
| 125 and 161 | 20125 |