Least Common Multiple (LCM) of 145 and 115
The least common multiple (LCM) of 145 and 115 is 3335.
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 115?
First, calculate the GCD of 145 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 115 = 1 remainder 30 |
| 2 | 115 ÷ 30 = 3 remainder 25 |
| 3 | 30 ÷ 25 = 1 remainder 5 |
| 4 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 124 | 5332 |
| 12 and 117 | 468 |
| 146 and 164 | 11972 |
| 174 and 77 | 13398 |
| 136 and 158 | 10744 |