Least Common Multiple (LCM) of 101 and 161
The least common multiple (LCM) of 101 and 161 is 16261.
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 101 and 161?
First, calculate the GCD of 101 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 161 = 0 remainder 101 |
| 2 | 161 ÷ 101 = 1 remainder 60 |
| 3 | 101 ÷ 60 = 1 remainder 41 |
| 4 | 60 ÷ 41 = 1 remainder 19 |
| 5 | 41 ÷ 19 = 2 remainder 3 |
| 6 | 19 ÷ 3 = 6 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 26 | 3770 |
| 179 and 64 | 11456 |
| 68 and 18 | 612 |
| 37 and 105 | 3885 |
| 133 and 112 | 2128 |