Least Common Multiple (LCM) of 60 and 161
The least common multiple (LCM) of 60 and 161 is 9660.
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 60 and 161?
First, calculate the GCD of 60 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 161 = 0 remainder 60 |
| 2 | 161 ÷ 60 = 2 remainder 41 |
| 3 | 60 ÷ 41 = 1 remainder 19 |
| 4 | 41 ÷ 19 = 2 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 108 | 18900 |
| 140 and 100 | 700 |
| 28 and 126 | 252 |
| 164 and 184 | 7544 |
| 104 and 181 | 18824 |