Least Common Multiple (LCM) of 158 and 149
The least common multiple (LCM) of 158 and 149 is 23542.
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 149?
First, calculate the GCD of 158 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 149 = 1 remainder 9 |
| 2 | 149 ÷ 9 = 16 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 166 | 15604 |
| 185 and 55 | 2035 |
| 20 and 99 | 1980 |
| 22 and 145 | 3190 |
| 177 and 141 | 8319 |