Least Common Multiple (LCM) of 156 and 85
The least common multiple (LCM) of 156 and 85 is 13260.
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 156 and 85?
First, calculate the GCD of 156 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 85 = 1 remainder 71 |
| 2 | 85 ÷ 71 = 1 remainder 14 |
| 3 | 71 ÷ 14 = 5 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 55 | 1925 |
| 134 and 132 | 8844 |
| 192 and 33 | 2112 |
| 183 and 142 | 25986 |
| 163 and 107 | 17441 |