Least Common Multiple (LCM) of 161 and 54
The least common multiple (LCM) of 161 and 54 is 8694.
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 54?
First, calculate the GCD of 161 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 54 = 2 remainder 53 |
| 2 | 54 ÷ 53 = 1 remainder 1 |
| 3 | 53 ÷ 1 = 53 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 36 | 5652 |
| 93 and 40 | 3720 |
| 20 and 49 | 980 |
| 79 and 33 | 2607 |
| 123 and 52 | 6396 |