Least Common Multiple (LCM) of 86 and 57
The least common multiple (LCM) of 86 and 57 is 4902.
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 57?
First, calculate the GCD of 86 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 57 = 1 remainder 29 |
| 2 | 57 ÷ 29 = 1 remainder 28 |
| 3 | 29 ÷ 28 = 1 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 138 | 8004 |
| 142 and 116 | 8236 |
| 169 and 191 | 32279 |
| 19 and 48 | 912 |
| 128 and 99 | 12672 |