Least Common Multiple (LCM) of 164 and 156
The least common multiple (LCM) of 164 and 156 is 6396.
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 164 and 156?
First, calculate the GCD of 164 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 156 = 1 remainder 8 |
| 2 | 156 ÷ 8 = 19 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 164 | 32636 |
| 166 and 58 | 4814 |
| 29 and 34 | 986 |
| 187 and 116 | 21692 |
| 182 and 20 | 1820 |