Least Common Multiple (LCM) of 53 and 161
The least common multiple (LCM) of 53 and 161 is 8533.
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 53 and 161?
First, calculate the GCD of 53 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 161 = 0 remainder 53 |
| 2 | 161 ÷ 53 = 3 remainder 2 |
| 3 | 53 ÷ 2 = 26 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 134 | 13266 |
| 114 and 48 | 912 |
| 175 and 172 | 30100 |
| 72 and 171 | 1368 |
| 45 and 179 | 8055 |