Least Common Multiple (LCM) of 56 and 161
The least common multiple (LCM) of 56 and 161 is 1288.
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 56 and 161?
First, calculate the GCD of 56 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 161 = 0 remainder 56 |
| 2 | 161 ÷ 56 = 2 remainder 49 |
| 3 | 56 ÷ 49 = 1 remainder 7 |
| 4 | 49 ÷ 7 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 107 | 17869 |
| 91 and 180 | 16380 |
| 122 and 175 | 21350 |
| 85 and 175 | 2975 |
| 50 and 47 | 2350 |