Least Common Multiple (LCM) of 70 and 86
The least common multiple (LCM) of 70 and 86 is 3010.
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 70 and 86?
First, calculate the GCD of 70 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 86 = 0 remainder 70 |
| 2 | 86 ÷ 70 = 1 remainder 16 |
| 3 | 70 ÷ 16 = 4 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 70 | 12390 |
| 122 and 131 | 15982 |
| 99 and 138 | 4554 |
| 129 and 108 | 4644 |
| 41 and 117 | 4797 |