Least Common Multiple (LCM) of 161 and 88
The least common multiple (LCM) of 161 and 88 is 14168.
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 88?
First, calculate the GCD of 161 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 88 = 1 remainder 73 |
| 2 | 88 ÷ 73 = 1 remainder 15 |
| 3 | 73 ÷ 15 = 4 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 172 | 13932 |
| 175 and 152 | 26600 |
| 39 and 12 | 156 |
| 190 and 75 | 2850 |
| 89 and 156 | 13884 |