Least Common Multiple (LCM) of 164 and 158
The least common multiple (LCM) of 164 and 158 is 12956.
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 164 and 158?
First, calculate the GCD of 164 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 158 = 1 remainder 6 |
| 2 | 158 ÷ 6 = 26 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 99 | 14058 |
| 110 and 29 | 3190 |
| 48 and 49 | 2352 |
| 165 and 51 | 2805 |
| 87 and 115 | 10005 |