Least Common Multiple (LCM) of 161 and 112
The least common multiple (LCM) of 161 and 112 is 2576.
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 112?
First, calculate the GCD of 161 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 112 = 1 remainder 49 |
| 2 | 112 ÷ 49 = 2 remainder 14 |
| 3 | 49 ÷ 14 = 3 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 94 | 8742 |
| 142 and 162 | 11502 |
| 141 and 199 | 28059 |
| 153 and 77 | 11781 |
| 21 and 102 | 714 |