Least Common Multiple (LCM) of 158 and 157
The least common multiple (LCM) of 158 and 157 is 24806.
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 157?
First, calculate the GCD of 158 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 157 = 1 remainder 1 |
| 2 | 157 ÷ 1 = 157 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 91 | 6188 |
| 36 and 30 | 180 |
| 96 and 185 | 17760 |
| 23 and 15 | 345 |
| 86 and 58 | 2494 |