Least Common Multiple (LCM) of 185 and 123
The least common multiple (LCM) of 185 and 123 is 22755.
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 185 and 123?
First, calculate the GCD of 185 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 123 = 1 remainder 62 |
| 2 | 123 ÷ 62 = 1 remainder 61 |
| 3 | 62 ÷ 61 = 1 remainder 1 |
| 4 | 61 ÷ 1 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 178 | 23674 |
| 107 and 161 | 17227 |
| 149 and 143 | 21307 |
| 85 and 173 | 14705 |
| 168 and 172 | 7224 |