Least Common Multiple (LCM) of 156 and 166
The least common multiple (LCM) of 156 and 166 is 12948.
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 166?
First, calculate the GCD of 156 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 166 = 0 remainder 156 |
| 2 | 166 ÷ 156 = 1 remainder 10 |
| 3 | 156 ÷ 10 = 15 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 135 | 675 |
| 167 and 13 | 2171 |
| 159 and 69 | 3657 |
| 127 and 27 | 3429 |
| 122 and 131 | 15982 |