Least Common Multiple (LCM) of 158 and 145
The least common multiple (LCM) of 158 and 145 is 22910.
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 158 and 145?
First, calculate the GCD of 158 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 145 = 1 remainder 13 |
| 2 | 145 ÷ 13 = 11 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 105 | 16485 |
| 163 and 193 | 31459 |
| 118 and 159 | 18762 |
| 37 and 42 | 1554 |
| 99 and 47 | 4653 |