Least Common Multiple (LCM) of 163 and 77
The least common multiple (LCM) of 163 and 77 is 12551.
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 163 and 77?
First, calculate the GCD of 163 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 77 = 2 remainder 9 |
| 2 | 77 ÷ 9 = 8 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 90 | 14490 |
| 113 and 21 | 2373 |
| 104 and 88 | 1144 |
| 122 and 100 | 6100 |
| 86 and 72 | 3096 |