Least Common Multiple (LCM) of 161 and 60
The least common multiple (LCM) of 161 and 60 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 161 and 60?
First, calculate the GCD of 161 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 60 = 2 remainder 41 |
| 2 | 60 ÷ 41 = 1 remainder 19 |
| 3 | 41 ÷ 19 = 2 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 30 | 510 |
| 44 and 171 | 7524 |
| 78 and 137 | 10686 |
| 68 and 10 | 340 |
| 24 and 72 | 72 |