Least Common Multiple (LCM) of 86 and 94
The least common multiple (LCM) of 86 and 94 is 4042.
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 94?
First, calculate the GCD of 86 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 94 = 0 remainder 86 |
| 2 | 94 ÷ 86 = 1 remainder 8 |
| 3 | 86 ÷ 8 = 10 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 85 | 14620 |
| 113 and 195 | 22035 |
| 154 and 61 | 9394 |
| 163 and 101 | 16463 |
| 148 and 19 | 2812 |