Least Common Multiple (LCM) of 77 and 167
The least common multiple (LCM) of 77 and 167 is 12859.
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 167?
First, calculate the GCD of 77 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 167 = 0 remainder 77 |
| 2 | 167 ÷ 77 = 2 remainder 13 |
| 3 | 77 ÷ 13 = 5 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 194 | 19594 |
| 196 and 162 | 15876 |
| 50 and 60 | 300 |
| 103 and 98 | 10094 |
| 89 and 123 | 10947 |