Least Common Multiple (LCM) of 856 and 640
The least common multiple (LCM) of 856 and 640 is 68480.
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 856 and 640?
First, calculate the GCD of 856 and 640 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 856 ÷ 640 = 1 remainder 216 |
| 2 | 640 ÷ 216 = 2 remainder 208 |
| 3 | 216 ÷ 208 = 1 remainder 8 |
| 4 | 208 ÷ 8 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 82 | 1066 |
| 118 and 186 | 10974 |
| 148 and 70 | 5180 |
| 135 and 30 | 270 |
| 160 and 179 | 28640 |