Least Common Multiple (LCM) of 161 and 123
The least common multiple (LCM) of 161 and 123 is 19803.
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 161 and 123?
First, calculate the GCD of 161 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 123 = 1 remainder 38 |
| 2 | 123 ÷ 38 = 3 remainder 9 |
| 3 | 38 ÷ 9 = 4 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 98 | 9408 |
| 151 and 140 | 21140 |
| 122 and 67 | 8174 |
| 30 and 68 | 1020 |
| 157 and 59 | 9263 |