Least Common Multiple (LCM) of 161 and 93
The least common multiple (LCM) of 161 and 93 is 14973.
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 93?
First, calculate the GCD of 161 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 93 = 1 remainder 68 |
| 2 | 93 ÷ 68 = 1 remainder 25 |
| 3 | 68 ÷ 25 = 2 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 70 | 910 |
| 63 and 24 | 504 |
| 19 and 38 | 38 |
| 189 and 66 | 4158 |
| 112 and 121 | 13552 |