Least Common Multiple (LCM) of 77 and 158
The least common multiple (LCM) of 77 and 158 is 12166.
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 77 and 158?
First, calculate the GCD of 77 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 158 = 0 remainder 77 |
| 2 | 158 ÷ 77 = 2 remainder 4 |
| 3 | 77 ÷ 4 = 19 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 45 | 2610 |
| 159 and 194 | 30846 |
| 167 and 47 | 7849 |
| 134 and 82 | 5494 |
| 177 and 32 | 5664 |