Least Common Multiple (LCM) of 158 and 156
The least common multiple (LCM) of 158 and 156 is 12324.
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 156?
First, calculate the GCD of 158 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 156 = 1 remainder 2 |
| 2 | 156 ÷ 2 = 78 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 103 | 18025 |
| 200 and 127 | 25400 |
| 117 and 84 | 3276 |
| 195 and 127 | 24765 |
| 185 and 177 | 32745 |