Least Common Multiple (LCM) of 145 and 116
The least common multiple (LCM) of 145 and 116 is 580.
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 116?
First, calculate the GCD of 145 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 116 = 1 remainder 29 |
| 2 | 116 ÷ 29 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 38 | 570 |
| 134 and 191 | 25594 |
| 106 and 198 | 10494 |
| 161 and 34 | 5474 |
| 118 and 62 | 3658 |