Least Common Multiple (LCM) of 162 and 156
The least common multiple (LCM) of 162 and 156 is 4212.
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 162 and 156?
First, calculate the GCD of 162 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 156 = 1 remainder 6 |
| 2 | 156 ÷ 6 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 153 | 1071 |
| 123 and 34 | 4182 |
| 157 and 137 | 21509 |
| 189 and 45 | 945 |
| 78 and 36 | 468 |