Least Common Multiple (LCM) of 93 and 161
The least common multiple (LCM) of 93 and 161 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 93 and 161?
First, calculate the GCD of 93 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 161 = 0 remainder 93 |
| 2 | 161 ÷ 93 = 1 remainder 68 |
| 3 | 93 ÷ 68 = 1 remainder 25 |
| 4 | 68 ÷ 25 = 2 remainder 18 |
| 5 | 25 ÷ 18 = 1 remainder 7 |
| 6 | 18 ÷ 7 = 2 remainder 4 |
| 7 | 7 ÷ 4 = 1 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 143 | 8723 |
| 96 and 200 | 2400 |
| 110 and 126 | 6930 |
| 164 and 142 | 11644 |
| 122 and 96 | 5856 |