Least Common Multiple (LCM) of 158 and 190
The least common multiple (LCM) of 158 and 190 is 15010.
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 190?
First, calculate the GCD of 158 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 190 = 0 remainder 158 |
| 2 | 190 ÷ 158 = 1 remainder 32 |
| 3 | 158 ÷ 32 = 4 remainder 30 |
| 4 | 32 ÷ 30 = 1 remainder 2 |
| 5 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 155 | 22010 |
| 54 and 82 | 2214 |
| 29 and 24 | 696 |
| 16 and 23 | 368 |
| 39 and 103 | 4017 |