Least Common Multiple (LCM) of 156 and 167
The least common multiple (LCM) of 156 and 167 is 26052.
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 167?
First, calculate the GCD of 156 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 167 = 0 remainder 156 |
| 2 | 167 ÷ 156 = 1 remainder 11 |
| 3 | 156 ÷ 11 = 14 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 19 | 2109 |
| 71 and 129 | 9159 |
| 18 and 39 | 234 |
| 172 and 92 | 3956 |
| 12 and 94 | 564 |