Least Common Multiple (LCM) of 86 and 51
The least common multiple (LCM) of 86 and 51 is 4386.
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 51?
First, calculate the GCD of 86 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 51 = 1 remainder 35 |
| 2 | 51 ÷ 35 = 1 remainder 16 |
| 3 | 35 ÷ 16 = 2 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 192 | 3648 |
| 136 and 47 | 6392 |
| 160 and 18 | 1440 |
| 175 and 26 | 4550 |
| 73 and 134 | 9782 |