Least Common Multiple (LCM) of 156 and 158
The least common multiple (LCM) of 156 and 158 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 156 and 158?
First, calculate the GCD of 156 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 158 = 0 remainder 156 |
| 2 | 158 ÷ 156 = 1 remainder 2 |
| 3 | 156 ÷ 2 = 78 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 34 | 5542 |
| 137 and 38 | 5206 |
| 84 and 157 | 13188 |
| 36 and 173 | 6228 |
| 143 and 70 | 10010 |