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 |
|---|---|
| 194 and 24 | 2328 |
| 120 and 11 | 1320 |
| 12 and 181 | 2172 |
| 118 and 153 | 18054 |
| 95 and 29 | 2755 |