Least Common Multiple (LCM) of 86 and 77
The least common multiple (LCM) of 86 and 77 is 6622.
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 86 and 77?
First, calculate the GCD of 86 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 77 = 1 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 |
|---|---|
| 40 and 46 | 920 |
| 137 and 173 | 23701 |
| 146 and 43 | 6278 |
| 186 and 30 | 930 |
| 145 and 115 | 3335 |