Least Common Multiple (LCM) of 162 and 123
The least common multiple (LCM) of 162 and 123 is 6642.
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 123?
First, calculate the GCD of 162 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 123 = 1 remainder 39 |
| 2 | 123 ÷ 39 = 3 remainder 6 |
| 3 | 39 ÷ 6 = 6 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 87 | 3567 |
| 131 and 97 | 12707 |
| 72 and 177 | 4248 |
| 192 and 130 | 12480 |
| 200 and 197 | 39400 |