Least Common Multiple (LCM) of 123 and 164
The least common multiple (LCM) of 123 and 164 is 492.
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 123 and 164?
First, calculate the GCD of 123 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 164 = 0 remainder 123 |
| 2 | 164 ÷ 123 = 1 remainder 41 |
| 3 | 123 ÷ 41 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 178 | 9434 |
| 32 and 135 | 4320 |
| 148 and 125 | 18500 |
| 178 and 147 | 26166 |
| 18 and 47 | 846 |