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 |
|---|---|
| 59 and 142 | 8378 |
| 137 and 153 | 20961 |
| 179 and 141 | 25239 |
| 183 and 100 | 18300 |
| 145 and 62 | 8990 |