Least Common Multiple (LCM) of 145 and 131
The least common multiple (LCM) of 145 and 131 is 18995.
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 131?
First, calculate the GCD of 145 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 131 = 1 remainder 14 |
| 2 | 131 ÷ 14 = 9 remainder 5 |
| 3 | 14 ÷ 5 = 2 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 35 | 315 |
| 200 and 135 | 5400 |
| 173 and 153 | 26469 |
| 135 and 194 | 26190 |
| 95 and 16 | 1520 |