Least Common Multiple (LCM) of 167 and 156
The least common multiple (LCM) of 167 and 156 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 167 and 156?
First, calculate the GCD of 167 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 156 = 1 remainder 11 |
| 2 | 156 ÷ 11 = 14 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 148 | 1036 |
| 121 and 123 | 14883 |
| 199 and 165 | 32835 |
| 17 and 112 | 1904 |
| 164 and 78 | 6396 |