Least Common Multiple (LCM) of 158 and 146
The least common multiple (LCM) of 158 and 146 is 11534.
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 146?
First, calculate the GCD of 158 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 146 = 1 remainder 12 |
| 2 | 146 ÷ 12 = 12 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 64 | 1216 |
| 128 and 197 | 25216 |
| 101 and 153 | 15453 |
| 167 and 167 | 167 |
| 14 and 175 | 350 |