Least Common Multiple (LCM) of 145 and 58
The least common multiple (LCM) of 145 and 58 is 290.
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 58?
First, calculate the GCD of 145 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 58 = 2 remainder 29 |
| 2 | 58 ÷ 29 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 37 | 6216 |
| 146 and 92 | 6716 |
| 29 and 46 | 1334 |
| 162 and 70 | 5670 |
| 62 and 192 | 5952 |