Least Common Multiple (LCM) of 78 and 161
The least common multiple (LCM) of 78 and 161 is 12558.
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 78 and 161?
First, calculate the GCD of 78 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 161 = 0 remainder 78 |
| 2 | 161 ÷ 78 = 2 remainder 5 |
| 3 | 78 ÷ 5 = 15 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 96 | 9696 |
| 130 and 116 | 7540 |
| 76 and 58 | 2204 |
| 165 and 191 | 31515 |
| 129 and 91 | 11739 |