Least Common Multiple (LCM) of 77 and 166
The least common multiple (LCM) of 77 and 166 is 12782.
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 166?
First, calculate the GCD of 77 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 166 = 0 remainder 77 |
| 2 | 166 ÷ 77 = 2 remainder 12 |
| 3 | 77 ÷ 12 = 6 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 101 | 10706 |
| 137 and 192 | 26304 |
| 172 and 149 | 25628 |
| 121 and 156 | 18876 |
| 183 and 70 | 12810 |