Least Common Multiple (LCM) of 163 and 156
The least common multiple (LCM) of 163 and 156 is 25428.
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 163 and 156?
First, calculate the GCD of 163 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 156 = 1 remainder 7 |
| 2 | 156 ÷ 7 = 22 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 169 | 21463 |
| 55 and 154 | 770 |
| 162 and 106 | 8586 |
| 141 and 35 | 4935 |
| 71 and 186 | 13206 |