Least Common Multiple (LCM) of 156 and 144
The least common multiple (LCM) of 156 and 144 is 1872.
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 144?
First, calculate the GCD of 156 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 144 = 1 remainder 12 |
| 2 | 144 ÷ 12 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 189 | 21357 |
| 138 and 135 | 6210 |
| 188 and 22 | 2068 |
| 162 and 61 | 9882 |
| 138 and 107 | 14766 |