Least Common Multiple (LCM) of 136 and 85
The least common multiple (LCM) of 136 and 85 is 680.
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 136 and 85?
First, calculate the GCD of 136 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 85 = 1 remainder 51 |
| 2 | 85 ÷ 51 = 1 remainder 34 |
| 3 | 51 ÷ 34 = 1 remainder 17 |
| 4 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 105 | 5565 |
| 159 and 15 | 795 |
| 147 and 192 | 9408 |
| 165 and 32 | 5280 |
| 130 and 70 | 910 |