Least Common Multiple (LCM) of 86 and 146
The least common multiple (LCM) of 86 and 146 is 6278.
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 146?
First, calculate the GCD of 86 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 146 = 0 remainder 86 |
| 2 | 146 ÷ 86 = 1 remainder 60 |
| 3 | 86 ÷ 60 = 1 remainder 26 |
| 4 | 60 ÷ 26 = 2 remainder 8 |
| 5 | 26 ÷ 8 = 3 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 63 | 5922 |
| 77 and 21 | 231 |
| 60 and 176 | 2640 |
| 150 and 23 | 3450 |
| 118 and 75 | 8850 |