Least Common Multiple (LCM) of 161 and 174
The least common multiple (LCM) of 161 and 174 is 28014.
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 174?
First, calculate the GCD of 161 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 174 = 0 remainder 161 |
| 2 | 174 ÷ 161 = 1 remainder 13 |
| 3 | 161 ÷ 13 = 12 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 31 | 2139 |
| 108 and 180 | 540 |
| 184 and 37 | 6808 |
| 65 and 96 | 6240 |
| 96 and 193 | 18528 |