Least Common Multiple (LCM) of 156 and 178
The least common multiple (LCM) of 156 and 178 is 13884.
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 178?
First, calculate the GCD of 156 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 178 = 0 remainder 156 |
| 2 | 178 ÷ 156 = 1 remainder 22 |
| 3 | 156 ÷ 22 = 7 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 162 | 12798 |
| 192 and 95 | 18240 |
| 125 and 184 | 23000 |
| 180 and 14 | 1260 |
| 125 and 24 | 3000 |